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Finding the Fourth Proportional to 158,721.80, 238,082.70 and 137,985.80

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Solution

The fourth proportional to 158,721.80, 238,082.70 and 137,985.80 is: 206,978.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,721.80 : 238,082.70 = 137,985.80 : x
  2. Step 2: Convert to fraction form
    158,721.80/238,082.70 = 137,985.80/x
  3. Step 3: Cross multiply
    158,721.80x = 238,082.70 × 137,985.80
  4. Step 4: Simplify right side
    158,721.80x = 32,852,031,825.66
  5. Step 5: Solve for x
    x = 32,852,031,825.66/158,721.80
  6. Step 6: Final answer
    x = 206,978.70

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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.