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Finding the Fourth Proportional to 91,602, 137,418.42 and 31,614.12

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Solution

The fourth proportional to 91,602, 137,418.42 and 31,614.12 is: 47,426.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,602 : 137,418.42 = 31,614.12 : x
  2. Step 2: Convert to fraction form
    91,602/137,418.42 = 31,614.12/x
  3. Step 3: Cross multiply
    91,602x = 137,418.42 × 31,614.12
  4. Step 4: Simplify right side
    91,602x = 4,344,362,420.09
  5. Step 5: Solve for x
    x = 4,344,362,420.09/91,602
  6. Step 6: Final answer
    x = 47,426.50

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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.