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Finding the Fourth Proportional to 142,089.96, 213,129.90 and 35,474.52

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Solution

The fourth proportional to 142,089.96, 213,129.90 and 35,474.52 is: 53,210.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,089.96 : 213,129.90 = 35,474.52 : x
  2. Step 2: Convert to fraction form
    142,089.96/213,129.90 = 35,474.52/x
  3. Step 3: Cross multiply
    142,089.96x = 213,129.90 × 35,474.52
  4. Step 4: Simplify right side
    142,089.96x = 7,560,680,900.15
  5. Step 5: Solve for x
    x = 7,560,680,900.15/142,089.96
  6. Step 6: Final answer
    x = 53,210.52

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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.