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Finding the Fourth Proportional to 83,657.91, 115,445.34 and 45,415.65

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Solution

The fourth proportional to 83,657.91, 115,445.34 and 45,415.65 is: 62,672.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,657.91 : 115,445.34 = 45,415.65 : x
  2. Step 2: Convert to fraction form
    83,657.91/115,445.34 = 45,415.65/x
  3. Step 3: Cross multiply
    83,657.91x = 115,445.34 × 45,415.65
  4. Step 4: Simplify right side
    83,657.91x = 5,243,025,155.57
  5. Step 5: Solve for x
    x = 5,243,025,155.57/83,657.91
  6. Step 6: Final answer
    x = 62,672.20

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1.5x scale

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.