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Finding the Fourth Proportional to 138,376, 207,564 and 44,881.75

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Solution

The fourth proportional to 138,376, 207,564 and 44,881.75 is: 67,322.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,376 : 207,564 = 44,881.75 : x
  2. Step 2: Convert to fraction form
    138,376/207,564 = 44,881.75/x
  3. Step 3: Cross multiply
    138,376x = 207,564 × 44,881.75
  4. Step 4: Simplify right side
    138,376x = 9,315,835,557
  5. Step 5: Solve for x
    x = 9,315,835,557/138,376
  6. Step 6: Final answer
    x = 67,322.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.