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Finding the Fourth Proportional to 189,691.02, 284,553.12 and 77,379.66

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Solution

The fourth proportional to 189,691.02, 284,553.12 and 77,379.66 is: 116,076.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,691.02 : 284,553.12 = 77,379.66 : x
  2. Step 2: Convert to fraction form
    189,691.02/284,553.12 = 77,379.66/x
  3. Step 3: Cross multiply
    189,691.02x = 284,553.12 × 77,379.66
  4. Step 4: Simplify right side
    189,691.02x = 22,018,623,677.54
  5. Step 5: Solve for x
    x = 22,018,623,677.54/189,691.02
  6. Step 6: Final answer
    x = 116,076.26

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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.