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Finding the Fourth Proportional to 242,704.68, 334,934.01 and 135,281.52

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Solution

The fourth proportional to 242,704.68, 334,934.01 and 135,281.52 is: 186,689.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,704.68 : 334,934.01 = 135,281.52 : x
  2. Step 2: Convert to fraction form
    242,704.68/334,934.01 = 135,281.52/x
  3. Step 3: Cross multiply
    242,704.68x = 334,934.01 × 135,281.52
  4. Step 4: Simplify right side
    242,704.68x = 45,310,381,296.09
  5. Step 5: Solve for x
    x = 45,310,381,296.09/242,704.68
  6. Step 6: Final answer
    x = 186,689.36

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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.