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Finding the Fourth Proportional to 109,988.75, 151,784.57 and 59,687.75

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Solution

The fourth proportional to 109,988.75, 151,784.57 and 59,687.75 is: 82,369.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,988.75 : 151,784.57 = 59,687.75 : x
  2. Step 2: Convert to fraction form
    109,988.75/151,784.57 = 59,687.75/x
  3. Step 3: Cross multiply
    109,988.75x = 151,784.57 × 59,687.75
  4. Step 4: Simplify right side
    109,988.75x = 9,059,679,013.95
  5. Step 5: Solve for x
    x = 9,059,679,013.95/109,988.75
  6. Step 6: Final answer
    x = 82,369.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.