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Finding the Fourth Proportional to 140,583.64, 193,986.28 and 83,983

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Solution

The fourth proportional to 140,583.64, 193,986.28 and 83,983 is: 115,885.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,583.64 : 193,986.28 = 83,983 : x
  2. Step 2: Convert to fraction form
    140,583.64/193,986.28 = 83,983/x
  3. Step 3: Cross multiply
    140,583.64x = 193,986.28 × 83,983
  4. Step 4: Simplify right side
    140,583.64x = 16,291,549,753.24
  5. Step 5: Solve for x
    x = 16,291,549,753.24/140,583.64
  6. Step 6: Final answer
    x = 115,885.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.