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Finding the Fourth Proportional to 137,591.79, 189,796.08 and 86,523.72

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Solution

The fourth proportional to 137,591.79, 189,796.08 and 86,523.72 is: 119,352.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,591.79 : 189,796.08 = 86,523.72 : x
  2. Step 2: Convert to fraction form
    137,591.79/189,796.08 = 86,523.72/x
  3. Step 3: Cross multiply
    137,591.79x = 189,796.08 × 86,523.72
  4. Step 4: Simplify right side
    137,591.79x = 16,421,862,883.02
  5. Step 5: Solve for x
    x = 16,421,862,883.02/137,591.79
  6. Step 6: Final answer
    x = 119,352.05

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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.