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Finding the Fourth Proportional to 91,578.54, 137,418.84 and 49,457.76

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Solution

The fourth proportional to 91,578.54, 137,418.84 and 49,457.76 is: 74,214.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,578.54 : 137,418.84 = 49,457.76 : x
  2. Step 2: Convert to fraction form
    91,578.54/137,418.84 = 49,457.76/x
  3. Step 3: Cross multiply
    91,578.54x = 137,418.84 × 49,457.76
  4. Step 4: Simplify right side
    91,578.54x = 6,796,428,008.20
  5. Step 5: Solve for x
    x = 6,796,428,008.20/91,578.54
  6. Step 6: Final answer
    x = 74,214.20

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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.