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Finding the Fourth Proportional to 157,224.60, 216,936.36 and 99,882

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Solution

The fourth proportional to 157,224.60, 216,936.36 and 99,882 is: 137,815.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,224.60 : 216,936.36 = 99,882 : x
  2. Step 2: Convert to fraction form
    157,224.60/216,936.36 = 99,882/x
  3. Step 3: Cross multiply
    157,224.60x = 216,936.36 × 99,882
  4. Step 4: Simplify right side
    157,224.60x = 21,668,037,509.52
  5. Step 5: Solve for x
    x = 21,668,037,509.52/157,224.60
  6. Step 6: Final answer
    x = 137,815.82

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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.