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Finding the Fourth Proportional to 144,060.40, 215,815.20 and 77,478.40

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Solution

The fourth proportional to 144,060.40, 215,815.20 and 77,478.40 is: 116,069.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,060.40 : 215,815.20 = 77,478.40 : x
  2. Step 2: Convert to fraction form
    144,060.40/215,815.20 = 77,478.40/x
  3. Step 3: Cross multiply
    144,060.40x = 215,815.20 × 77,478.40
  4. Step 4: Simplify right side
    144,060.40x = 16,721,016,391.68
  5. Step 5: Solve for x
    x = 16,721,016,391.68/144,060.40
  6. Step 6: Final answer
    x = 116,069.48

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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.