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Finding the Fourth Proportional to 83,783.91, 125,657.40 and 53,707.80

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Solution

The fourth proportional to 83,783.91, 125,657.40 and 53,707.80 is: 80,549.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,783.91 : 125,657.40 = 53,707.80 : x
  2. Step 2: Convert to fraction form
    83,783.91/125,657.40 = 53,707.80/x
  3. Step 3: Cross multiply
    83,783.91x = 125,657.40 × 53,707.80
  4. Step 4: Simplify right side
    83,783.91x = 6,748,782,507.72
  5. Step 5: Solve for x
    x = 6,748,782,507.72/83,783.91
  6. Step 6: Final answer
    x = 80,549.86

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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.