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Finding the Fourth Proportional to 113,707.80, 170,702.10 and 71,587.80

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Solution

The fourth proportional to 113,707.80, 170,702.10 and 71,587.80 is: 107,470.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,707.80 : 170,702.10 = 71,587.80 : x
  2. Step 2: Convert to fraction form
    113,707.80/170,702.10 = 71,587.80/x
  3. Step 3: Cross multiply
    113,707.80x = 170,702.10 × 71,587.80
  4. Step 4: Simplify right side
    113,707.80x = 12,220,187,794.38
  5. Step 5: Solve for x
    x = 12,220,187,794.38/113,707.80
  6. Step 6: Final answer
    x = 107,470.09

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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.