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Finding the Fourth Proportional to 153,155.80, 229,996.14 and 83,171.80

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Solution

The fourth proportional to 153,155.80, 229,996.14 and 83,171.80 is: 124,900.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,155.80 : 229,996.14 = 83,171.80 : x
  2. Step 2: Convert to fraction form
    153,155.80/229,996.14 = 83,171.80/x
  3. Step 3: Cross multiply
    153,155.80x = 229,996.14 × 83,171.80
  4. Step 4: Simplify right side
    153,155.80x = 19,129,192,956.85
  5. Step 5: Solve for x
    x = 19,129,192,956.85/153,155.80
  6. Step 6: Final answer
    x = 124,900.22

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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.