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Finding the Fourth Proportional to 82,284.80, 123,398.40 and 42,828.80

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Solution

The fourth proportional to 82,284.80, 123,398.40 and 42,828.80 is: 64,228.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,284.80 : 123,398.40 = 42,828.80 : x
  2. Step 2: Convert to fraction form
    82,284.80/123,398.40 = 42,828.80/x
  3. Step 3: Cross multiply
    82,284.80x = 123,398.40 × 42,828.80
  4. Step 4: Simplify right side
    82,284.80x = 5,285,005,393.92
  5. Step 5: Solve for x
    x = 5,285,005,393.92/82,284.80
  6. Step 6: Final answer
    x = 64,228.21

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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.