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Finding the Fourth Proportional to 156,976.50, 216,647.19 and 89,908.50

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Solution

The fourth proportional to 156,976.50, 216,647.19 and 89,908.50 is: 124,084.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,976.50 : 216,647.19 = 89,908.50 : x
  2. Step 2: Convert to fraction form
    156,976.50/216,647.19 = 89,908.50/x
  3. Step 3: Cross multiply
    156,976.50x = 216,647.19 × 89,908.50
  4. Step 4: Simplify right side
    156,976.50x = 19,478,423,882.12
  5. Step 5: Solve for x
    x = 19,478,423,882.12/156,976.50
  6. Step 6: Final answer
    x = 124,084.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.