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Finding the Fourth Proportional to 85,275.67, 127,929.30 and 29,112.70

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Solution

The fourth proportional to 85,275.67, 127,929.30 and 29,112.70 is: 43,674.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,275.67 : 127,929.30 = 29,112.70 : x
  2. Step 2: Convert to fraction form
    85,275.67/127,929.30 = 29,112.70/x
  3. Step 3: Cross multiply
    85,275.67x = 127,929.30 × 29,112.70
  4. Step 4: Simplify right side
    85,275.67x = 3,724,367,332.11
  5. Step 5: Solve for x
    x = 3,724,367,332.11/85,275.67
  6. Step 6: Final answer
    x = 43,674.44

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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.