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Finding the Fourth Proportional to 242,657.38, 363,987 and 74,177.06

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Solution

The fourth proportional to 242,657.38, 363,987 and 74,177.06 is: 111,265.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,657.38 : 363,987 = 74,177.06 : x
  2. Step 2: Convert to fraction form
    242,657.38/363,987 = 74,177.06/x
  3. Step 3: Cross multiply
    242,657.38x = 363,987 × 74,177.06
  4. Step 4: Simplify right side
    242,657.38x = 26,999,483,718.29
  5. Step 5: Solve for x
    x = 26,999,483,718.29/242,657.38
  6. Step 6: Final answer
    x = 111,265.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.