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Finding the Fourth Proportional to 78,622.54, 108,501.78 and 42,813.16

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Solution

The fourth proportional to 78,622.54, 108,501.78 and 42,813.16 is: 59,083.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,622.54 : 108,501.78 = 42,813.16 : x
  2. Step 2: Convert to fraction form
    78,622.54/108,501.78 = 42,813.16/x
  3. Step 3: Cross multiply
    78,622.54x = 108,501.78 × 42,813.16
  4. Step 4: Simplify right side
    78,622.54x = 4,645,304,067.42
  5. Step 5: Solve for x
    x = 4,645,304,067.42/78,622.54
  6. Step 6: Final answer
    x = 59,083.62

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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.