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Finding the Fourth Proportional to 82,166.40, 123,030.90 and 52,423.20

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Solution

The fourth proportional to 82,166.40, 123,030.90 and 52,423.20 is: 78,495.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,166.40 : 123,030.90 = 52,423.20 : x
  2. Step 2: Convert to fraction form
    82,166.40/123,030.90 = 52,423.20/x
  3. Step 3: Cross multiply
    82,166.40x = 123,030.90 × 52,423.20
  4. Step 4: Simplify right side
    82,166.40x = 6,449,673,476.88
  5. Step 5: Solve for x
    x = 6,449,673,476.88/82,166.40
  6. Step 6: Final answer
    x = 78,495.27

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1.5x scale

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.