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Finding the Fourth Proportional to 78,455.43, 108,270.61 and 42,647.87

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Solution

The fourth proportional to 78,455.43, 108,270.61 and 42,647.87 is: 58,855.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,455.43 : 108,270.61 = 42,647.87 : x
  2. Step 2: Convert to fraction form
    78,455.43/108,270.61 = 42,647.87/x
  3. Step 3: Cross multiply
    78,455.43x = 108,270.61 × 42,647.87
  4. Step 4: Simplify right side
    78,455.43x = 4,617,511,064.16
  5. Step 5: Solve for x
    x = 4,617,511,064.16/78,455.43
  6. Step 6: Final answer
    x = 58,855.21

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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.