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Finding the Fourth Proportional to 97,761.95, 134,976.80 and 65,919.23

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Solution

The fourth proportional to 97,761.95, 134,976.80 and 65,919.23 is: 91,012.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,761.95 : 134,976.80 = 65,919.23 : x
  2. Step 2: Convert to fraction form
    97,761.95/134,976.80 = 65,919.23/x
  3. Step 3: Cross multiply
    97,761.95x = 134,976.80 × 65,919.23
  4. Step 4: Simplify right side
    97,761.95x = 8,897,566,213.78
  5. Step 5: Solve for x
    x = 8,897,566,213.78/97,761.95
  6. Step 6: Final answer
    x = 91,012.57

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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.