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Finding the Fourth Proportional to 143,871.47, 215,869.40 and 77,233.79

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Solution

The fourth proportional to 143,871.47, 215,869.40 and 77,233.79 is: 115,884.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,871.47 : 215,869.40 = 77,233.79 : x
  2. Step 2: Convert to fraction form
    143,871.47/215,869.40 = 77,233.79/x
  3. Step 3: Cross multiply
    143,871.47x = 215,869.40 × 77,233.79
  4. Step 4: Simplify right side
    143,871.47x = 16,672,411,020.76
  5. Step 5: Solve for x
    x = 16,672,411,020.76/143,871.47
  6. Step 6: Final answer
    x = 115,884.07

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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.