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Finding the Fourth Proportional to 127,640.53, 176,142.47 and 70,278.65

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Solution

The fourth proportional to 127,640.53, 176,142.47 and 70,278.65 is: 96,983.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,640.53 : 176,142.47 = 70,278.65 : x
  2. Step 2: Convert to fraction form
    127,640.53/176,142.47 = 70,278.65/x
  3. Step 3: Cross multiply
    127,640.53x = 176,142.47 × 70,278.65
  4. Step 4: Simplify right side
    127,640.53x = 12,379,054,294.25
  5. Step 5: Solve for x
    x = 12,379,054,294.25/127,640.53
  6. Step 6: Final answer
    x = 96,983.73

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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.