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Finding the Fourth Proportional to 78,249, 107,989.20 and 44,257.80

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Solution

The fourth proportional to 78,249, 107,989.20 and 44,257.80 is: 61,078.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,249 : 107,989.20 = 44,257.80 : x
  2. Step 2: Convert to fraction form
    78,249/107,989.20 = 44,257.80/x
  3. Step 3: Cross multiply
    78,249x = 107,989.20 × 44,257.80
  4. Step 4: Simplify right side
    78,249x = 4,779,364,415.76
  5. Step 5: Solve for x
    x = 4,779,364,415.76/78,249
  6. Step 6: Final answer
    x = 61,078.92

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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.