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Finding the Fourth Proportional to 205,508.70, 308,032.65 and 105,630.30

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Solution

The fourth proportional to 205,508.70, 308,032.65 and 105,630.30 is: 158,327.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,508.70 : 308,032.65 = 105,630.30 : x
  2. Step 2: Convert to fraction form
    205,508.70/308,032.65 = 105,630.30/x
  3. Step 3: Cross multiply
    205,508.70x = 308,032.65 × 105,630.30
  4. Step 4: Simplify right side
    205,508.70x = 32,537,581,229.30
  5. Step 5: Solve for x
    x = 32,537,581,229.30/205,508.70
  6. Step 6: Final answer
    x = 158,327.03

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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.