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Finding the Fourth Proportional to 205,870.26, 308,758.92 and 104,565.72

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Solution

The fourth proportional to 205,870.26, 308,758.92 and 104,565.72 is: 156,824.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,870.26 : 308,758.92 = 104,565.72 : x
  2. Step 2: Convert to fraction form
    205,870.26/308,758.92 = 104,565.72/x
  3. Step 3: Cross multiply
    205,870.26x = 308,758.92 × 104,565.72
  4. Step 4: Simplify right side
    205,870.26x = 32,285,598,776.22
  5. Step 5: Solve for x
    x = 32,285,598,776.22/205,870.26
  6. Step 6: Final answer
    x = 156,824.98

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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.