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Finding the Fourth Proportional to 140,488.70, 210,733.25 and 57,382.70

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Solution

The fourth proportional to 140,488.70, 210,733.25 and 57,382.70 is: 86,074.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,488.70 : 210,733.25 = 57,382.70 : x
  2. Step 2: Convert to fraction form
    140,488.70/210,733.25 = 57,382.70/x
  3. Step 3: Cross multiply
    140,488.70x = 210,733.25 × 57,382.70
  4. Step 4: Simplify right side
    140,488.70x = 12,092,441,524.20
  5. Step 5: Solve for x
    x = 12,092,441,524.20/140,488.70
  6. Step 6: Final answer
    x = 86,074.13

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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.