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Finding the Fourth Proportional to 102,565.80, 153,891.90 and 55,852.20

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Solution

The fourth proportional to 102,565.80, 153,891.90 and 55,852.20 is: 83,801.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,565.80 : 153,891.90 = 55,852.20 : x
  2. Step 2: Convert to fraction form
    102,565.80/153,891.90 = 55,852.20/x
  3. Step 3: Cross multiply
    102,565.80x = 153,891.90 × 55,852.20
  4. Step 4: Simplify right side
    102,565.80x = 8,595,201,177.18
  5. Step 5: Solve for x
    x = 8,595,201,177.18/102,565.80
  6. Step 6: Final answer
    x = 83,801.82

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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.