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Finding the Fourth Proportional to 78,240.66, 107,970.21 and 44,704.50

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Solution

The fourth proportional to 78,240.66, 107,970.21 and 44,704.50 is: 61,691.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,240.66 : 107,970.21 = 44,704.50 : x
  2. Step 2: Convert to fraction form
    78,240.66/107,970.21 = 44,704.50/x
  3. Step 3: Cross multiply
    78,240.66x = 107,970.21 × 44,704.50
  4. Step 4: Simplify right side
    78,240.66x = 4,826,754,252.95
  5. Step 5: Solve for x
    x = 4,826,754,252.95/78,240.66
  6. Step 6: Final answer
    x = 61,691.12

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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.