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Finding the Fourth Proportional to 91,407.83, 137,062.53 and 49,310.51

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Solution

The fourth proportional to 91,407.83, 137,062.53 and 49,310.51 is: 73,939.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,407.83 : 137,062.53 = 49,310.51 : x
  2. Step 2: Convert to fraction form
    91,407.83/137,062.53 = 49,310.51/x
  3. Step 3: Cross multiply
    91,407.83x = 137,062.53 × 49,310.51
  4. Step 4: Simplify right side
    91,407.83x = 6,758,622,570.88
  5. Step 5: Solve for x
    x = 6,758,622,570.88/91,407.83
  6. Step 6: Final answer
    x = 73,939.21

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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.