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Finding the Fourth Proportional to 142,549.77, 213,990.30 and 83,427.87

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Solution

The fourth proportional to 142,549.77, 213,990.30 and 83,427.87 is: 125,238.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,549.77 : 213,990.30 = 83,427.87 : x
  2. Step 2: Convert to fraction form
    142,549.77/213,990.30 = 83,427.87/x
  3. Step 3: Cross multiply
    142,549.77x = 213,990.30 × 83,427.87
  4. Step 4: Simplify right side
    142,549.77x = 17,852,754,929.66
  5. Step 5: Solve for x
    x = 17,852,754,929.66/142,549.77
  6. Step 6: Final answer
    x = 125,238.75

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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.