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Finding the Fourth Proportional to 135,414.86, 186,870.22 and 74,984.21

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Solution

The fourth proportional to 135,414.86, 186,870.22 and 74,984.21 is: 103,476.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,414.86 : 186,870.22 = 74,984.21 : x
  2. Step 2: Convert to fraction form
    135,414.86/186,870.22 = 74,984.21/x
  3. Step 3: Cross multiply
    135,414.86x = 186,870.22 × 74,984.21
  4. Step 4: Simplify right side
    135,414.86x = 14,012,316,098.94
  5. Step 5: Solve for x
    x = 14,012,316,098.94/135,414.86
  6. Step 6: Final answer
    x = 103,476.94

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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.