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Finding the Fourth Proportional to 137,597.60, 189,807.81 and 86,591.30

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Solution

The fourth proportional to 137,597.60, 189,807.81 and 86,591.30 is: 119,447.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,597.60 : 189,807.81 = 86,591.30 : x
  2. Step 2: Convert to fraction form
    137,597.60/189,807.81 = 86,591.30/x
  3. Step 3: Cross multiply
    137,597.60x = 189,807.81 × 86,591.30
  4. Step 4: Simplify right side
    137,597.60x = 16,435,703,744.30
  5. Step 5: Solve for x
    x = 16,435,703,744.30/137,597.60
  6. Step 6: Final answer
    x = 119,447.60

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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.