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Finding the Fourth Proportional to 138,784.56, 191,522.64 and 75,122.88

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Solution

The fourth proportional to 138,784.56, 191,522.64 and 75,122.88 is: 103,669.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,784.56 : 191,522.64 = 75,122.88 : x
  2. Step 2: Convert to fraction form
    138,784.56/191,522.64 = 75,122.88/x
  3. Step 3: Cross multiply
    138,784.56x = 191,522.64 × 75,122.88
  4. Step 4: Simplify right side
    138,784.56x = 14,387,732,302.00
  5. Step 5: Solve for x
    x = 14,387,732,302.00/138,784.56
  6. Step 6: Final answer
    x = 103,669.55

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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.