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Finding the Fourth Proportional to 74,387.31, 102,655.22 and 40,853.31

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Solution

The fourth proportional to 74,387.31, 102,655.22 and 40,853.31 is: 56,377.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,387.31 : 102,655.22 = 40,853.31 : x
  2. Step 2: Convert to fraction form
    74,387.31/102,655.22 = 40,853.31/x
  3. Step 3: Cross multiply
    74,387.31x = 102,655.22 × 40,853.31
  4. Step 4: Simplify right side
    74,387.31x = 4,193,805,321.51
  5. Step 5: Solve for x
    x = 4,193,805,321.51/74,387.31
  6. Step 6: Final answer
    x = 56,377.97

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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.