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Finding the Fourth Proportional to 142,707.10, 214,103.84 and 53,987.80

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Solution

The fourth proportional to 142,707.10, 214,103.84 and 53,987.80 is: 80,998.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,707.10 : 214,103.84 = 53,987.80 : x
  2. Step 2: Convert to fraction form
    142,707.10/214,103.84 = 53,987.80/x
  3. Step 3: Cross multiply
    142,707.10x = 214,103.84 × 53,987.80
  4. Step 4: Simplify right side
    142,707.10x = 11,558,995,293.15
  5. Step 5: Solve for x
    x = 11,558,995,293.15/142,707.10
  6. Step 6: Final answer
    x = 80,998.04

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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.