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Finding the Fourth Proportional to 78,751.49, 108,674.66 and 42,942.20

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Solution

The fourth proportional to 78,751.49, 108,674.66 and 42,942.20 is: 59,258.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,751.49 : 108,674.66 = 42,942.20 : x
  2. Step 2: Convert to fraction form
    78,751.49/108,674.66 = 42,942.20/x
  3. Step 3: Cross multiply
    78,751.49x = 108,674.66 × 42,942.20
  4. Step 4: Simplify right side
    78,751.49x = 4,666,728,226.57
  5. Step 5: Solve for x
    x = 4,666,728,226.57/78,751.49
  6. Step 6: Final answer
    x = 59,258.92

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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.