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Finding the Fourth Proportional to 91,465.66, 137,020.94 and 67,406.26

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Solution

The fourth proportional to 91,465.66, 137,020.94 and 67,406.26 is: 100,978.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,465.66 : 137,020.94 = 67,406.26 : x
  2. Step 2: Convert to fraction form
    91,465.66/137,020.94 = 67,406.26/x
  3. Step 3: Cross multiply
    91,465.66x = 137,020.94 × 67,406.26
  4. Step 4: Simplify right side
    91,465.66x = 9,236,069,704.83
  5. Step 5: Solve for x
    x = 9,236,069,704.83/91,465.66
  6. Step 6: Final answer
    x = 100,978.55

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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.