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Finding the Fourth Proportional to 143,869.85, 215,866.97 and 77,232.16

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Solution

The fourth proportional to 143,869.85, 215,866.97 and 77,232.16 is: 115,881.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,869.85 : 215,866.97 = 77,232.16 : x
  2. Step 2: Convert to fraction form
    143,869.85/215,866.97 = 77,232.16/x
  3. Step 3: Cross multiply
    143,869.85x = 215,866.97 × 77,232.16
  4. Step 4: Simplify right side
    143,869.85x = 16,671,871,979.59
  5. Step 5: Solve for x
    x = 16,671,871,979.59/143,869.85
  6. Step 6: Final answer
    x = 115,881.62

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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.