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Finding the Fourth Proportional to 157,269.80, 235,707.95 and 123,857.90

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Solution

The fourth proportional to 157,269.80, 235,707.95 and 123,857.90 is: 185,631.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,269.80 : 235,707.95 = 123,857.90 : x
  2. Step 2: Convert to fraction form
    157,269.80/235,707.95 = 123,857.90/x
  3. Step 3: Cross multiply
    157,269.80x = 235,707.95 × 123,857.90
  4. Step 4: Simplify right side
    157,269.80x = 29,194,289,902.48
  5. Step 5: Solve for x
    x = 29,194,289,902.48/157,269.80
  6. Step 6: Final answer
    x = 185,631.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.