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Finding the Fourth Proportional to 91,802.24, 137,717.76 and 39,212

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Solution

The fourth proportional to 91,802.24, 137,717.76 and 39,212 is: 58,824.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,802.24 : 137,717.76 = 39,212 : x
  2. Step 2: Convert to fraction form
    91,802.24/137,717.76 = 39,212/x
  3. Step 3: Cross multiply
    91,802.24x = 137,717.76 × 39,212
  4. Step 4: Simplify right side
    91,802.24x = 5,400,188,805.12
  5. Step 5: Solve for x
    x = 5,400,188,805.12/91,802.24
  6. Step 6: Final answer
    x = 58,824.15

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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.