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Finding the Fourth Proportional to 78,410.16, 108,203.76 and 44,874

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Solution

The fourth proportional to 78,410.16, 108,203.76 and 44,874 is: 61,924.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,410.16 : 108,203.76 = 44,874 : x
  2. Step 2: Convert to fraction form
    78,410.16/108,203.76 = 44,874/x
  3. Step 3: Cross multiply
    78,410.16x = 108,203.76 × 44,874
  4. Step 4: Simplify right side
    78,410.16x = 4,855,535,526.24
  5. Step 5: Solve for x
    x = 4,855,535,526.24/78,410.16
  6. Step 6: Final answer
    x = 61,924.83

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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.