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Finding the Fourth Proportional to 242,561.62, 363,881.31 and 102,340.90

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Solution

The fourth proportional to 242,561.62, 363,881.31 and 102,340.90 is: 153,527.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,561.62 : 363,881.31 = 102,340.90 : x
  2. Step 2: Convert to fraction form
    242,561.62/363,881.31 = 102,340.90/x
  3. Step 3: Cross multiply
    242,561.62x = 363,881.31 × 102,340.90
  4. Step 4: Simplify right side
    242,561.62x = 37,239,940,758.58
  5. Step 5: Solve for x
    x = 37,239,940,758.58/242,561.62
  6. Step 6: Final answer
    x = 153,527.75

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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.