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Finding the Fourth Proportional to 143,876.94, 215,877.59 and 77,239.25

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Solution

The fourth proportional to 143,876.94, 215,877.59 and 77,239.25 is: 115,892.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,876.94 : 215,877.59 = 77,239.25 : x
  2. Step 2: Convert to fraction form
    143,876.94/215,877.59 = 77,239.25/x
  3. Step 3: Cross multiply
    143,876.94x = 215,877.59 × 77,239.25
  4. Step 4: Simplify right side
    143,876.94x = 16,674,221,677.82
  5. Step 5: Solve for x
    x = 16,674,221,677.82/143,876.94
  6. Step 6: Final answer
    x = 115,892.25

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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.