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Finding the Fourth Proportional to 137,159.68, 189,275.96 and 76,729.03

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Solution

The fourth proportional to 137,159.68, 189,275.96 and 76,729.03 is: 105,883.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,159.68 : 189,275.96 = 76,729.03 : x
  2. Step 2: Convert to fraction form
    137,159.68/189,275.96 = 76,729.03/x
  3. Step 3: Cross multiply
    137,159.68x = 189,275.96 × 76,729.03
  4. Step 4: Simplify right side
    137,159.68x = 14,522,960,813.12
  5. Step 5: Solve for x
    x = 14,522,960,813.12/137,159.68
  6. Step 6: Final answer
    x = 105,883.60

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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.