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Finding the Fourth Proportional to 138,492, 207,772.56 and 39,996

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Solution

The fourth proportional to 138,492, 207,772.56 and 39,996 is: 60,003.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,492 : 207,772.56 = 39,996 : x
  2. Step 2: Convert to fraction form
    138,492/207,772.56 = 39,996/x
  3. Step 3: Cross multiply
    138,492x = 207,772.56 × 39,996
  4. Step 4: Simplify right side
    138,492x = 8,310,071,309.76
  5. Step 5: Solve for x
    x = 8,310,071,309.76/138,492
  6. Step 6: Final answer
    x = 60,003.98

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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.