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Finding the Fourth Proportional to 140,656.80, 194,073.76 and 83,267.28

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Solution

The fourth proportional to 140,656.80, 194,073.76 and 83,267.28 is: 114,889.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,656.80 : 194,073.76 = 83,267.28 : x
  2. Step 2: Convert to fraction form
    140,656.80/194,073.76 = 83,267.28/x
  3. Step 3: Cross multiply
    140,656.80x = 194,073.76 × 83,267.28
  4. Step 4: Simplify right side
    140,656.80x = 16,159,994,114.57
  5. Step 5: Solve for x
    x = 16,159,994,114.57/140,656.80
  6. Step 6: Final answer
    x = 114,889.53

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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.