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Finding the Fourth Proportional to 142,883.11, 214,336.32 and 71,769.16

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Solution

The fourth proportional to 142,883.11, 214,336.32 and 71,769.16 is: 107,659.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,883.11 : 214,336.32 = 71,769.16 : x
  2. Step 2: Convert to fraction form
    142,883.11/214,336.32 = 71,769.16/x
  3. Step 3: Cross multiply
    142,883.11x = 214,336.32 × 71,769.16
  4. Step 4: Simplify right side
    142,883.11x = 15,382,737,643.89
  5. Step 5: Solve for x
    x = 15,382,737,643.89/142,883.11
  6. Step 6: Final answer
    x = 107,659.59

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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.