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Finding the Fourth Proportional to 74,313, 102,551.94 and 40,781.16

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Solution

The fourth proportional to 74,313, 102,551.94 and 40,781.16 is: 56,278.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,313 : 102,551.94 = 40,781.16 : x
  2. Step 2: Convert to fraction form
    74,313/102,551.94 = 40,781.16/x
  3. Step 3: Cross multiply
    74,313x = 102,551.94 × 40,781.16
  4. Step 4: Simplify right side
    74,313x = 4,182,187,073.45
  5. Step 5: Solve for x
    x = 4,182,187,073.45/74,313
  6. Step 6: Final answer
    x = 56,278.00

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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.