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Finding the Fourth Proportional to 91,449.93, 137,140.81 and 31,461.64

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Solution

The fourth proportional to 91,449.93, 137,140.81 and 31,461.64 is: 47,180.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,449.93 : 137,140.81 = 31,461.64 : x
  2. Step 2: Convert to fraction form
    91,449.93/137,140.81 = 31,461.64/x
  3. Step 3: Cross multiply
    91,449.93x = 137,140.81 × 31,461.64
  4. Step 4: Simplify right side
    91,449.93x = 4,314,674,372.02
  5. Step 5: Solve for x
    x = 4,314,674,372.02/91,449.93
  6. Step 6: Final answer
    x = 47,180.73

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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.