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Finding the Fourth Proportional to 142,585.61, 213,918.80 and 71,422.29

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Solution

The fourth proportional to 142,585.61, 213,918.80 and 71,422.29 is: 107,153.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,585.61 : 213,918.80 = 71,422.29 : x
  2. Step 2: Convert to fraction form
    142,585.61/213,918.80 = 71,422.29/x
  3. Step 3: Cross multiply
    142,585.61x = 213,918.80 × 71,422.29
  4. Step 4: Simplify right side
    142,585.61x = 15,278,570,212.94
  5. Step 5: Solve for x
    x = 15,278,570,212.94/142,585.61
  6. Step 6: Final answer
    x = 107,153.67

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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.