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Finding the Fourth Proportional to 149,879.16, 206,802.72 and 89,430.48

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Solution

The fourth proportional to 149,879.16, 206,802.72 and 89,430.48 is: 123,395.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,879.16 : 206,802.72 = 89,430.48 : x
  2. Step 2: Convert to fraction form
    149,879.16/206,802.72 = 89,430.48/x
  3. Step 3: Cross multiply
    149,879.16x = 206,802.72 × 89,430.48
  4. Step 4: Simplify right side
    149,879.16x = 18,494,466,514.91
  5. Step 5: Solve for x
    x = 18,494,466,514.91/149,879.16
  6. Step 6: Final answer
    x = 123,395.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.