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Finding the Fourth Proportional to 78,254.74, 107,990.22 and 44,261.88

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Solution

The fourth proportional to 78,254.74, 107,990.22 and 44,261.88 is: 61,080.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,254.74 : 107,990.22 = 44,261.88 : x
  2. Step 2: Convert to fraction form
    78,254.74/107,990.22 = 44,261.88/x
  3. Step 3: Cross multiply
    78,254.74x = 107,990.22 × 44,261.88
  4. Step 4: Simplify right side
    78,254.74x = 4,779,850,158.81
  5. Step 5: Solve for x
    x = 4,779,850,158.81/78,254.74
  6. Step 6: Final answer
    x = 61,080.65

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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.