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Finding the Fourth Proportional to 295,077.70, 442,616.55 and 81,845.20

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Solution

The fourth proportional to 295,077.70, 442,616.55 and 81,845.20 is: 122,767.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,077.70 : 442,616.55 = 81,845.20 : x
  2. Step 2: Convert to fraction form
    295,077.70/442,616.55 = 81,845.20/x
  3. Step 3: Cross multiply
    295,077.70x = 442,616.55 × 81,845.20
  4. Step 4: Simplify right side
    295,077.70x = 36,226,040,058.06
  5. Step 5: Solve for x
    x = 36,226,040,058.06/295,077.70
  6. Step 6: Final answer
    x = 122,767.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.