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Finding the Fourth Proportional to 144,057.40, 215,891.70 and 102,455.80

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Solution

The fourth proportional to 144,057.40, 215,891.70 and 102,455.80 is: 153,545.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,057.40 : 215,891.70 = 102,455.80 : x
  2. Step 2: Convert to fraction form
    144,057.40/215,891.70 = 102,455.80/x
  3. Step 3: Cross multiply
    144,057.40x = 215,891.70 × 102,455.80
  4. Step 4: Simplify right side
    144,057.40x = 22,119,356,836.86
  5. Step 5: Solve for x
    x = 22,119,356,836.86/144,057.40
  6. Step 6: Final answer
    x = 153,545.44

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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.