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Finding the Fourth Proportional to 135,083.79, 186,424.46 and 89,690.71

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Solution

The fourth proportional to 135,083.79, 186,424.46 and 89,690.71 is: 123,779.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,083.79 : 186,424.46 = 89,690.71 : x
  2. Step 2: Convert to fraction form
    135,083.79/186,424.46 = 89,690.71/x
  3. Step 3: Cross multiply
    135,083.79x = 186,424.46 × 89,690.71
  4. Step 4: Simplify right side
    135,083.79x = 16,720,542,178.77
  5. Step 5: Solve for x
    x = 16,720,542,178.77/135,083.79
  6. Step 6: Final answer
    x = 123,779.04

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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.