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Finding the Fourth Proportional to 83,953.32, 115,820.22 and 55,609.80

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Solution

The fourth proportional to 83,953.32, 115,820.22 and 55,609.80 is: 76,718.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,953.32 : 115,820.22 = 55,609.80 : x
  2. Step 2: Convert to fraction form
    83,953.32/115,820.22 = 55,609.80/x
  3. Step 3: Cross multiply
    83,953.32x = 115,820.22 × 55,609.80
  4. Step 4: Simplify right side
    83,953.32x = 6,440,739,270.16
  5. Step 5: Solve for x
    x = 6,440,739,270.16/83,953.32
  6. Step 6: Final answer
    x = 76,718.10

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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.