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Finding the Fourth Proportional to 242,695.30, 363,757.01 and 109,419.52

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Solution

The fourth proportional to 242,695.30, 363,757.01 and 109,419.52 is: 164,000.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,695.30 : 363,757.01 = 109,419.52 : x
  2. Step 2: Convert to fraction form
    242,695.30/363,757.01 = 109,419.52/x
  3. Step 3: Cross multiply
    242,695.30x = 363,757.01 × 109,419.52
  4. Step 4: Simplify right side
    242,695.30x = 39,802,115,612.05
  5. Step 5: Solve for x
    x = 39,802,115,612.05/242,695.30
  6. Step 6: Final answer
    x = 164,000.36

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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.