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Finding the Fourth Proportional to 91,643.62, 137,286.46 and 43,543.77

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Solution

The fourth proportional to 91,643.62, 137,286.46 and 43,543.77 is: 65,230.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,643.62 : 137,286.46 = 43,543.77 : x
  2. Step 2: Convert to fraction form
    91,643.62/137,286.46 = 43,543.77/x
  3. Step 3: Cross multiply
    91,643.62x = 137,286.46 × 43,543.77
  4. Step 4: Simplify right side
    91,643.62x = 5,977,970,038.35
  5. Step 5: Solve for x
    x = 5,977,970,038.35/91,643.62
  6. Step 6: Final answer
    x = 65,230.62

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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.