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Finding the Fourth Proportional to 157,142, 216,855.96 and 90,112.88

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Solution

The fourth proportional to 157,142, 216,855.96 and 90,112.88 is: 124,355.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,142 : 216,855.96 = 90,112.88 : x
  2. Step 2: Convert to fraction form
    157,142/216,855.96 = 90,112.88/x
  3. Step 3: Cross multiply
    157,142x = 216,855.96 × 90,112.88
  4. Step 4: Simplify right side
    157,142x = 19,541,515,100.76
  5. Step 5: Solve for x
    x = 19,541,515,100.76/157,142
  6. Step 6: Final answer
    x = 124,355.77

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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.