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Finding the Fourth Proportional to 146,062.80, 201,565.52 and 78,994.80

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Solution

The fourth proportional to 146,062.80, 201,565.52 and 78,994.80 is: 109,012.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,062.80 : 201,565.52 = 78,994.80 : x
  2. Step 2: Convert to fraction form
    146,062.80/201,565.52 = 78,994.80/x
  3. Step 3: Cross multiply
    146,062.80x = 201,565.52 × 78,994.80
  4. Step 4: Simplify right side
    146,062.80x = 15,922,627,939.30
  5. Step 5: Solve for x
    x = 15,922,627,939.30/146,062.80
  6. Step 6: Final answer
    x = 109,012.21

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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.