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Finding the Fourth Proportional to 189,902.17, 284,891.67 and 84,721.13

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Solution

The fourth proportional to 189,902.17, 284,891.67 and 84,721.13 is: 127,098.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,902.17 : 284,891.67 = 84,721.13 : x
  2. Step 2: Convert to fraction form
    189,902.17/284,891.67 = 84,721.13/x
  3. Step 3: Cross multiply
    189,902.17x = 284,891.67 × 84,721.13
  4. Step 4: Simplify right side
    189,902.17x = 24,136,344,209.99
  5. Step 5: Solve for x
    x = 24,136,344,209.99/189,902.17
  6. Step 6: Final answer
    x = 127,098.83

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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.