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Finding the Fourth Proportional to 140,700.80, 194,186.45 and 86,285.50

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Solution

The fourth proportional to 140,700.80, 194,186.45 and 86,285.50 is: 119,085.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,700.80 : 194,186.45 = 86,285.50 : x
  2. Step 2: Convert to fraction form
    140,700.80/194,186.45 = 86,285.50/x
  3. Step 3: Cross multiply
    140,700.80x = 194,186.45 × 86,285.50
  4. Step 4: Simplify right side
    140,700.80x = 16,755,474,661.72
  5. Step 5: Solve for x
    x = 16,755,474,661.72/140,700.80
  6. Step 6: Final answer
    x = 119,085.85

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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.