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Finding the Fourth Proportional to 205,604.10, 308,521.35 and 87,255.30

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Solution

The fourth proportional to 205,604.10, 308,521.35 and 87,255.30 is: 130,931.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,604.10 : 308,521.35 = 87,255.30 : x
  2. Step 2: Convert to fraction form
    205,604.10/308,521.35 = 87,255.30/x
  3. Step 3: Cross multiply
    205,604.10x = 308,521.35 × 87,255.30
  4. Step 4: Simplify right side
    205,604.10x = 26,920,122,950.66
  5. Step 5: Solve for x
    x = 26,920,122,950.66/205,604.10
  6. Step 6: Final answer
    x = 130,931.84

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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.