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Finding the Fourth Proportional to 132,687.84, 199,032 and 39,259.20

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Solution

The fourth proportional to 132,687.84, 199,032 and 39,259.20 is: 58,888.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,687.84 : 199,032 = 39,259.20 : x
  2. Step 2: Convert to fraction form
    132,687.84/199,032 = 39,259.20/x
  3. Step 3: Cross multiply
    132,687.84x = 199,032 × 39,259.20
  4. Step 4: Simplify right side
    132,687.84x = 7,813,837,094.40
  5. Step 5: Solve for x
    x = 7,813,837,094.40/132,687.84
  6. Step 6: Final answer
    x = 58,888.87

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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.