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Finding the Fourth Proportional to 91,578.79, 137,419.22 and 49,457.98

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Solution

The fourth proportional to 91,578.79, 137,419.22 and 49,457.98 is: 74,214.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,578.79 : 137,419.22 = 49,457.98 : x
  2. Step 2: Convert to fraction form
    91,578.79/137,419.22 = 49,457.98/x
  3. Step 3: Cross multiply
    91,578.79x = 137,419.22 × 49,457.98
  4. Step 4: Simplify right side
    91,578.79x = 6,796,477,034.38
  5. Step 5: Solve for x
    x = 6,796,477,034.38/91,578.79
  6. Step 6: Final answer
    x = 74,214.53

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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.