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Finding the Fourth Proportional to 91,792.84, 137,658.07 and 31,807.31

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Solution

The fourth proportional to 91,792.84, 137,658.07 and 31,807.31 is: 47,700.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,792.84 : 137,658.07 = 31,807.31 : x
  2. Step 2: Convert to fraction form
    91,792.84/137,658.07 = 31,807.31/x
  3. Step 3: Cross multiply
    91,792.84x = 137,658.07 × 31,807.31
  4. Step 4: Simplify right side
    91,792.84x = 4,378,532,747.46
  5. Step 5: Solve for x
    x = 4,378,532,747.46/91,792.84
  6. Step 6: Final answer
    x = 47,700.16

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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.