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Finding the Fourth Proportional to 83,743.70, 125,615.55 and 77,838.80

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Solution

The fourth proportional to 83,743.70, 125,615.55 and 77,838.80 is: 116,758.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,743.70 : 125,615.55 = 77,838.80 : x
  2. Step 2: Convert to fraction form
    83,743.70/125,615.55 = 77,838.80/x
  3. Step 3: Cross multiply
    83,743.70x = 125,615.55 × 77,838.80
  4. Step 4: Simplify right side
    83,743.70x = 9,777,763,673.34
  5. Step 5: Solve for x
    x = 9,777,763,673.34/83,743.70
  6. Step 6: Final answer
    x = 116,758.20

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1.5x scale

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.