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Finding the Fourth Proportional to 84,065.86, 115,974.12 and 55,348.48

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Solution

The fourth proportional to 84,065.86, 115,974.12 and 55,348.48 is: 76,356.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,065.86 : 115,974.12 = 55,348.48 : x
  2. Step 2: Convert to fraction form
    84,065.86/115,974.12 = 55,348.48/x
  3. Step 3: Cross multiply
    84,065.86x = 115,974.12 × 55,348.48
  4. Step 4: Simplify right side
    84,065.86x = 6,418,991,261.34
  5. Step 5: Solve for x
    x = 6,418,991,261.34/84,065.86
  6. Step 6: Final answer
    x = 76,356.70

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1.5x scale

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.