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Finding the Fourth Proportional to 242,301, 363,454.80 and 76,089

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Solution

The fourth proportional to 242,301, 363,454.80 and 76,089 is: 114,134.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,301 : 363,454.80 = 76,089 : x
  2. Step 2: Convert to fraction form
    242,301/363,454.80 = 76,089/x
  3. Step 3: Cross multiply
    242,301x = 363,454.80 × 76,089
  4. Step 4: Simplify right side
    242,301x = 27,654,912,277.20
  5. Step 5: Solve for x
    x = 27,654,912,277.20/242,301
  6. Step 6: Final answer
    x = 114,134.54

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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.