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Finding the Fourth Proportional to 242,532.92, 334,705.78 and 135,103.02

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Solution

The fourth proportional to 242,532.92, 334,705.78 and 135,103.02 is: 186,447.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,532.92 : 334,705.78 = 135,103.02 : x
  2. Step 2: Convert to fraction form
    242,532.92/334,705.78 = 135,103.02/x
  3. Step 3: Cross multiply
    242,532.92x = 334,705.78 × 135,103.02
  4. Step 4: Simplify right side
    242,532.92x = 45,219,761,689.46
  5. Step 5: Solve for x
    x = 45,219,761,689.46/242,532.92
  6. Step 6: Final answer
    x = 186,447.93

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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.