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Finding the Fourth Proportional to 78,240.16, 107,969.52 and 44,704

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Solution

The fourth proportional to 78,240.16, 107,969.52 and 44,704 is: 61,690.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,240.16 : 107,969.52 = 44,704 : x
  2. Step 2: Convert to fraction form
    78,240.16/107,969.52 = 44,704/x
  3. Step 3: Cross multiply
    78,240.16x = 107,969.52 × 44,704
  4. Step 4: Simplify right side
    78,240.16x = 4,826,669,422.08
  5. Step 5: Solve for x
    x = 4,826,669,422.08/78,240.16
  6. Step 6: Final answer
    x = 61,690.43

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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.