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Finding the Fourth Proportional to 77,398.65, 106,766.89 and 48,707.60

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Solution

The fourth proportional to 77,398.65, 106,766.89 and 48,707.60 is: 67,189.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,398.65 : 106,766.89 = 48,707.60 : x
  2. Step 2: Convert to fraction form
    77,398.65/106,766.89 = 48,707.60/x
  3. Step 3: Cross multiply
    77,398.65x = 106,766.89 × 48,707.60
  4. Step 4: Simplify right side
    77,398.65x = 5,200,359,387.84
  5. Step 5: Solve for x
    x = 5,200,359,387.84/77,398.65
  6. Step 6: Final answer
    x = 67,189.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.