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Finding the Fourth Proportional to 135,073.86, 186,402.33 and 74,644.26

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Solution

The fourth proportional to 135,073.86, 186,402.33 and 74,644.26 is: 103,009.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,073.86 : 186,402.33 = 74,644.26 : x
  2. Step 2: Convert to fraction form
    135,073.86/186,402.33 = 74,644.26/x
  3. Step 3: Cross multiply
    135,073.86x = 186,402.33 × 74,644.26
  4. Step 4: Simplify right side
    135,073.86x = 13,913,863,985.13
  5. Step 5: Solve for x
    x = 13,913,863,985.13/135,073.86
  6. Step 6: Final answer
    x = 103,009.30

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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.