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Finding the Fourth Proportional to 143,877.06, 215,877.87 and 77,239.44

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Solution

The fourth proportional to 143,877.06, 215,877.87 and 77,239.44 is: 115,892.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,877.06 : 215,877.87 = 77,239.44 : x
  2. Step 2: Convert to fraction form
    143,877.06/215,877.87 = 77,239.44/x
  3. Step 3: Cross multiply
    143,877.06x = 215,877.87 × 77,239.44
  4. Step 4: Simplify right side
    143,877.06x = 16,674,285,787.19
  5. Step 5: Solve for x
    x = 16,674,285,787.19/143,877.06
  6. Step 6: Final answer
    x = 115,892.59

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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.