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Finding the Fourth Proportional to 242,289, 363,446.46 and 76,089.96

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Solution

The fourth proportional to 242,289, 363,446.46 and 76,089.96 is: 114,139.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,289 : 363,446.46 = 76,089.96 : x
  2. Step 2: Convert to fraction form
    242,289/363,446.46 = 76,089.96/x
  3. Step 3: Cross multiply
    242,289x = 363,446.46 × 76,089.96
  4. Step 4: Simplify right side
    242,289x = 27,654,626,603.54
  5. Step 5: Solve for x
    x = 27,654,626,603.54/242,289
  6. Step 6: Final answer
    x = 114,139.01

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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.