Home / 105,906.90-146,142-58,159.20

Finding the Fourth Proportional to 105,906.90, 146,142 and 58,159.20

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Solution

The fourth proportional to 105,906.90, 146,142 and 58,159.20 is: 80,254.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,906.90 : 146,142 = 58,159.20 : x
  2. Step 2: Convert to fraction form
    105,906.90/146,142 = 58,159.20/x
  3. Step 3: Cross multiply
    105,906.90x = 146,142 × 58,159.20
  4. Step 4: Simplify right side
    105,906.90x = 8,499,501,806.40
  5. Step 5: Solve for x
    x = 8,499,501,806.40/105,906.90
  6. Step 6: Final answer
    x = 80,254.47

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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.