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Finding the Fourth Proportional to 135,123.86, 186,462.78 and 74,690.90

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Solution

The fourth proportional to 135,123.86, 186,462.78 and 74,690.90 is: 103,068.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,123.86 : 186,462.78 = 74,690.90 : x
  2. Step 2: Convert to fraction form
    135,123.86/186,462.78 = 74,690.90/x
  3. Step 3: Cross multiply
    135,123.86x = 186,462.78 × 74,690.90
  4. Step 4: Simplify right side
    135,123.86x = 13,927,072,854.70
  5. Step 5: Solve for x
    x = 13,927,072,854.70/135,123.86
  6. Step 6: Final answer
    x = 103,068.94

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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.