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Finding the Fourth Proportional to 138,264.40, 207,344.76 and 59,338

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Solution

The fourth proportional to 138,264.40, 207,344.76 and 59,338 is: 88,984.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,264.40 : 207,344.76 = 59,338 : x
  2. Step 2: Convert to fraction form
    138,264.40/207,344.76 = 59,338/x
  3. Step 3: Cross multiply
    138,264.40x = 207,344.76 × 59,338
  4. Step 4: Simplify right side
    138,264.40x = 12,303,423,368.88
  5. Step 5: Solve for x
    x = 12,303,423,368.88/138,264.40
  6. Step 6: Final answer
    x = 88,984.75

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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.