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Finding the Fourth Proportional to 91,530.90, 137,029.05 and 65,286.90

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Solution

The fourth proportional to 91,530.90, 137,029.05 and 65,286.90 is: 97,739.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,530.90 : 137,029.05 = 65,286.90 : x
  2. Step 2: Convert to fraction form
    91,530.90/137,029.05 = 65,286.90/x
  3. Step 3: Cross multiply
    91,530.90x = 137,029.05 × 65,286.90
  4. Step 4: Simplify right side
    91,530.90x = 8,946,201,884.45
  5. Step 5: Solve for x
    x = 8,946,201,884.45/91,530.90
  6. Step 6: Final answer
    x = 97,739.69

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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.