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Finding the Fourth Proportional to 82,448,811.20, 123,673,216.80 and 28,596,123.20

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Solution

The fourth proportional to 82,448,811.20, 123,673,216.80 and 28,596,123.20 is: 42,894,184.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,448,811.20 : 123,673,216.80 = 28,596,123.20 : x
  2. Step 2: Convert to fraction form
    82,448,811.20/123,673,216.80 = 28,596,123.20/x
  3. Step 3: Cross multiply
    82,448,811.20x = 123,673,216.80 × 28,596,123.20
  4. Step 4: Simplify right side
    82,448,811.20x = 3,536,574,544,153,109.50
  5. Step 5: Solve for x
    x = 3,536,574,544,153,109.50/82,448,811.20
  6. Step 6: Final answer
    x = 42,894,184.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.