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Finding the Fourth Proportional to 143,109.76, 214,657.76 and 54,356.34

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Solution

The fourth proportional to 143,109.76, 214,657.76 and 54,356.34 is: 81,531.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,109.76 : 214,657.76 = 54,356.34 : x
  2. Step 2: Convert to fraction form
    143,109.76/214,657.76 = 54,356.34/x
  3. Step 3: Cross multiply
    143,109.76x = 214,657.76 × 54,356.34
  4. Step 4: Simplify right side
    143,109.76x = 11,668,010,186.20
  5. Step 5: Solve for x
    x = 11,668,010,186.20/143,109.76
  6. Step 6: Final answer
    x = 81,531.90

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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.