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Finding the Fourth Proportional to 83,615.90, 115,389.97 and 47,806.61

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Solution

The fourth proportional to 83,615.90, 115,389.97 and 47,806.61 is: 65,973.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,615.90 : 115,389.97 = 47,806.61 : x
  2. Step 2: Convert to fraction form
    83,615.90/115,389.97 = 47,806.61/x
  3. Step 3: Cross multiply
    83,615.90x = 115,389.97 × 47,806.61
  4. Step 4: Simplify right side
    83,615.90x = 5,516,402,597.24
  5. Step 5: Solve for x
    x = 5,516,402,597.24/83,615.90
  6. Step 6: Final answer
    x = 65,973.13

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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.