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Finding the Fourth Proportional to 157,838.65, 217,763.31 and 89,838.61

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Solution

The fourth proportional to 157,838.65, 217,763.31 and 89,838.61 is: 123,946.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,838.65 : 217,763.31 = 89,838.61 : x
  2. Step 2: Convert to fraction form
    157,838.65/217,763.31 = 89,838.61/x
  3. Step 3: Cross multiply
    157,838.65x = 217,763.31 × 89,838.61
  4. Step 4: Simplify right side
    157,838.65x = 19,563,553,079.40
  5. Step 5: Solve for x
    x = 19,563,553,079.40/157,838.65
  6. Step 6: Final answer
    x = 123,946.53

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1.5x scale

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.