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Finding the Fourth Proportional to 143,897.28, 215,908.09 and 77,259.59

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Solution

The fourth proportional to 143,897.28, 215,908.09 and 77,259.59 is: 115,922.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,897.28 : 215,908.09 = 77,259.59 : x
  2. Step 2: Convert to fraction form
    143,897.28/215,908.09 = 77,259.59/x
  3. Step 3: Cross multiply
    143,897.28x = 215,908.09 × 77,259.59
  4. Step 4: Simplify right side
    143,897.28x = 16,680,970,511.08
  5. Step 5: Solve for x
    x = 16,680,970,511.08/143,897.28
  6. Step 6: Final answer
    x = 115,922.76

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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.