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Finding the Fourth Proportional to 127,398.30, 175,826.70 and 82,207.66

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Solution

The fourth proportional to 127,398.30, 175,826.70 and 82,207.66 is: 113,457.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,398.30 : 175,826.70 = 82,207.66 : x
  2. Step 2: Convert to fraction form
    127,398.30/175,826.70 = 82,207.66/x
  3. Step 3: Cross multiply
    127,398.30x = 175,826.70 × 82,207.66
  4. Step 4: Simplify right side
    127,398.30x = 14,454,301,572.52
  5. Step 5: Solve for x
    x = 14,454,301,572.52/127,398.30
  6. Step 6: Final answer
    x = 113,457.57

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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.