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Finding the Fourth Proportional to 78,224.38, 107,948.64 and 42,414.28

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Solution

The fourth proportional to 78,224.38, 107,948.64 and 42,414.28 is: 58,531.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,224.38 : 107,948.64 = 42,414.28 : x
  2. Step 2: Convert to fraction form
    78,224.38/107,948.64 = 42,414.28/x
  3. Step 3: Cross multiply
    78,224.38x = 107,948.64 × 42,414.28
  4. Step 4: Simplify right side
    78,224.38x = 4,578,563,842.58
  5. Step 5: Solve for x
    x = 4,578,563,842.58/78,224.38
  6. Step 6: Final answer
    x = 58,531.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.