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Finding the Fourth Proportional to 91,859.56, 137,820 and 35,701.46

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Solution

The fourth proportional to 91,859.56, 137,820 and 35,701.46 is: 53,564.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,859.56 : 137,820 = 35,701.46 : x
  2. Step 2: Convert to fraction form
    91,859.56/137,820 = 35,701.46/x
  3. Step 3: Cross multiply
    91,859.56x = 137,820 × 35,701.46
  4. Step 4: Simplify right side
    91,859.56x = 4,920,375,217.20
  5. Step 5: Solve for x
    x = 4,920,375,217.20/91,859.56
  6. Step 6: Final answer
    x = 53,564.11

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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.