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Finding the Fourth Proportional to 153,077.50, 229,404.84 and 85,645

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Solution

The fourth proportional to 153,077.50, 229,404.84 and 85,645 is: 128,349.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,077.50 : 229,404.84 = 85,645 : x
  2. Step 2: Convert to fraction form
    153,077.50/229,404.84 = 85,645/x
  3. Step 3: Cross multiply
    153,077.50x = 229,404.84 × 85,645
  4. Step 4: Simplify right side
    153,077.50x = 19,647,377,521.80
  5. Step 5: Solve for x
    x = 19,647,377,521.80/153,077.50
  6. Step 6: Final answer
    x = 128,349.22

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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.