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Finding the Fourth Proportional to 78,251.74, 107,989.84 and 44,259.56

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Solution

The fourth proportional to 78,251.74, 107,989.84 and 44,259.56 is: 61,079.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,251.74 : 107,989.84 = 44,259.56 : x
  2. Step 2: Convert to fraction form
    78,251.74/107,989.84 = 44,259.56/x
  3. Step 3: Cross multiply
    78,251.74x = 107,989.84 × 44,259.56
  4. Step 4: Simplify right side
    78,251.74x = 4,779,582,802.87
  5. Step 5: Solve for x
    x = 4,779,582,802.87/78,251.74
  6. Step 6: Final answer
    x = 61,079.57

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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.