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Finding the Fourth Proportional to 137,154.60, 189,266.76 and 86,193.72

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Solution

The fourth proportional to 137,154.60, 189,266.76 and 86,193.72 is: 118,943.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,154.60 : 189,266.76 = 86,193.72 : x
  2. Step 2: Convert to fraction form
    137,154.60/189,266.76 = 86,193.72/x
  3. Step 3: Cross multiply
    137,154.60x = 189,266.76 × 86,193.72
  4. Step 4: Simplify right side
    137,154.60x = 16,313,606,116.75
  5. Step 5: Solve for x
    x = 16,313,606,116.75/137,154.60
  6. Step 6: Final answer
    x = 118,943.19

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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.