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Finding the Fourth Proportional to 144,047.80, 215,913.30 and 50,505.40

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Solution

The fourth proportional to 144,047.80, 215,913.30 and 50,505.40 is: 75,702.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,047.80 : 215,913.30 = 50,505.40 : x
  2. Step 2: Convert to fraction form
    144,047.80/215,913.30 = 50,505.40/x
  3. Step 3: Cross multiply
    144,047.80x = 215,913.30 × 50,505.40
  4. Step 4: Simplify right side
    144,047.80x = 10,904,787,581.82
  5. Step 5: Solve for x
    x = 10,904,787,581.82/144,047.80
  6. Step 6: Final answer
    x = 75,702.56

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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.