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Finding the Fourth Proportional to 91,688.91, 137,488 and 32,515.71

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Solution

The fourth proportional to 91,688.91, 137,488 and 32,515.71 is: 48,757.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,688.91 : 137,488 = 32,515.71 : x
  2. Step 2: Convert to fraction form
    91,688.91/137,488 = 32,515.71/x
  3. Step 3: Cross multiply
    91,688.91x = 137,488 × 32,515.71
  4. Step 4: Simplify right side
    91,688.91x = 4,470,519,936.48
  5. Step 5: Solve for x
    x = 4,470,519,936.48/91,688.91
  6. Step 6: Final answer
    x = 48,757.48

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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.