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Finding the Fourth Proportional to 138,507.84, 191,140.88 and 74,845.64

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Solution

The fourth proportional to 138,507.84, 191,140.88 and 74,845.64 is: 103,287.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,507.84 : 191,140.88 = 74,845.64 : x
  2. Step 2: Convert to fraction form
    138,507.84/191,140.88 = 74,845.64/x
  3. Step 3: Cross multiply
    138,507.84x = 191,140.88 × 74,845.64
  4. Step 4: Simplify right side
    138,507.84x = 14,306,061,493.76
  5. Step 5: Solve for x
    x = 14,306,061,493.76/138,507.84
  6. Step 6: Final answer
    x = 103,287.02

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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.