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Finding the Fourth Proportional to 135,095.67, 186,419.82 and 77,719.71

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Solution

The fourth proportional to 135,095.67, 186,419.82 and 77,719.71 is: 107,246.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,095.67 : 186,419.82 = 77,719.71 : x
  2. Step 2: Convert to fraction form
    135,095.67/186,419.82 = 77,719.71/x
  3. Step 3: Cross multiply
    135,095.67x = 186,419.82 × 77,719.71
  4. Step 4: Simplify right side
    135,095.67x = 14,488,494,348.65
  5. Step 5: Solve for x
    x = 14,488,494,348.65/135,095.67
  6. Step 6: Final answer
    x = 107,246.18

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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.