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Finding the Fourth Proportional to 157,154, 216,872.52 and 86,498

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Solution

The fourth proportional to 157,154, 216,872.52 and 86,498 is: 119,367.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,154 : 216,872.52 = 86,498 : x
  2. Step 2: Convert to fraction form
    157,154/216,872.52 = 86,498/x
  3. Step 3: Cross multiply
    157,154x = 216,872.52 × 86,498
  4. Step 4: Simplify right side
    157,154x = 18,759,039,234.96
  5. Step 5: Solve for x
    x = 18,759,039,234.96/157,154
  6. Step 6: Final answer
    x = 119,367.24

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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.