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Finding the Fourth Proportional to 138,718.87, 191,432.53 and 75,056.66

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Solution

The fourth proportional to 138,718.87, 191,432.53 and 75,056.66 is: 103,578.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,718.87 : 191,432.53 = 75,056.66 : x
  2. Step 2: Convert to fraction form
    138,718.87/191,432.53 = 75,056.66/x
  3. Step 3: Cross multiply
    138,718.87x = 191,432.53 × 75,056.66
  4. Step 4: Simplify right side
    138,718.87x = 14,368,286,317.15
  5. Step 5: Solve for x
    x = 14,368,286,317.15/138,718.87
  6. Step 6: Final answer
    x = 103,578.46

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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.