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Finding the Fourth Proportional to 143,959.40, 215,939.12 and 77,307.84

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Solution

The fourth proportional to 143,959.40, 215,939.12 and 77,307.84 is: 115,961.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,959.40 : 215,939.12 = 77,307.84 : x
  2. Step 2: Convert to fraction form
    143,959.40/215,939.12 = 77,307.84/x
  3. Step 3: Cross multiply
    143,959.40x = 215,939.12 × 77,307.84
  4. Step 4: Simplify right side
    143,959.40x = 16,693,786,938.70
  5. Step 5: Solve for x
    x = 16,693,786,938.70/143,959.40
  6. Step 6: Final answer
    x = 115,961.77

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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.