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Finding the Fourth Proportional to 74,160, 102,339.98 and 40,167.64

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Solution

The fourth proportional to 74,160, 102,339.98 and 40,167.64 is: 55,430.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,160 : 102,339.98 = 40,167.64 : x
  2. Step 2: Convert to fraction form
    74,160/102,339.98 = 40,167.64/x
  3. Step 3: Cross multiply
    74,160x = 102,339.98 × 40,167.64
  4. Step 4: Simplify right side
    74,160x = 4,110,755,474.25
  5. Step 5: Solve for x
    x = 4,110,755,474.25/74,160
  6. Step 6: Final answer
    x = 55,430.90

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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.