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Finding the Fourth Proportional to 242,971.52, 335,337.63 and 147,459.74

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Solution

The fourth proportional to 242,971.52, 335,337.63 and 147,459.74 is: 203,516.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,971.52 : 335,337.63 = 147,459.74 : x
  2. Step 2: Convert to fraction form
    242,971.52/335,337.63 = 147,459.74/x
  3. Step 3: Cross multiply
    242,971.52x = 335,337.63 × 147,459.74
  4. Step 4: Simplify right side
    242,971.52x = 49,448,799,732.02
  5. Step 5: Solve for x
    x = 49,448,799,732.02/242,971.52
  6. Step 6: Final answer
    x = 203,516.86

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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.