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Finding the Fourth Proportional to 91,728, 137,598.48 and 36,324

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Solution

The fourth proportional to 91,728, 137,598.48 and 36,324 is: 54,488.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,728 : 137,598.48 = 36,324 : x
  2. Step 2: Convert to fraction form
    91,728/137,598.48 = 36,324/x
  3. Step 3: Cross multiply
    91,728x = 137,598.48 × 36,324
  4. Step 4: Simplify right side
    91,728x = 4,998,127,187.52
  5. Step 5: Solve for x
    x = 4,998,127,187.52/91,728
  6. Step 6: Final answer
    x = 54,488.57

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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.