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Finding the Fourth Proportional to 78,418.53, 108,219.16 and 42,610.86

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Solution

The fourth proportional to 78,418.53, 108,219.16 and 42,610.86 is: 58,803.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,418.53 : 108,219.16 = 42,610.86 : x
  2. Step 2: Convert to fraction form
    78,418.53/108,219.16 = 42,610.86/x
  3. Step 3: Cross multiply
    78,418.53x = 108,219.16 × 42,610.86
  4. Step 4: Simplify right side
    78,418.53x = 4,611,311,476.08
  5. Step 5: Solve for x
    x = 4,611,311,476.08/78,418.53
  6. Step 6: Final answer
    x = 58,803.85

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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.