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Finding the Fourth Proportional to 83,109.15, 124,663.71 and 20,779.65

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Solution

The fourth proportional to 83,109.15, 124,663.71 and 20,779.65 is: 31,169.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,109.15 : 124,663.71 = 20,779.65 : x
  2. Step 2: Convert to fraction form
    83,109.15/124,663.71 = 20,779.65/x
  3. Step 3: Cross multiply
    83,109.15x = 124,663.71 × 20,779.65
  4. Step 4: Simplify right side
    83,109.15x = 2,590,468,261.50
  5. Step 5: Solve for x
    x = 2,590,468,261.50/83,109.15
  6. Step 6: Final answer
    x = 31,169.47

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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.