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Finding the Fourth Proportional to 78,225.87, 107,943.69 and 48,012.48

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Solution

The fourth proportional to 78,225.87, 107,943.69 and 48,012.48 is: 66,252.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,225.87 : 107,943.69 = 48,012.48 : x
  2. Step 2: Convert to fraction form
    78,225.87/107,943.69 = 48,012.48/x
  3. Step 3: Cross multiply
    78,225.87x = 107,943.69 × 48,012.48
  4. Step 4: Simplify right side
    78,225.87x = 5,182,644,257.25
  5. Step 5: Solve for x
    x = 5,182,644,257.25/78,225.87
  6. Step 6: Final answer
    x = 66,252.31

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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.