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Finding the Fourth Proportional to 83,615.50, 115,389.47 and 47,806.26

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Solution

The fourth proportional to 83,615.50, 115,389.47 and 47,806.26 is: 65,972.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,615.50 : 115,389.47 = 47,806.26 : x
  2. Step 2: Convert to fraction form
    83,615.50/115,389.47 = 47,806.26/x
  3. Step 3: Cross multiply
    83,615.50x = 115,389.47 × 47,806.26
  4. Step 4: Simplify right side
    83,615.50x = 5,516,338,765.05
  5. Step 5: Solve for x
    x = 5,516,338,765.05/83,615.50
  6. Step 6: Final answer
    x = 65,972.68

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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.