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Finding the Fourth Proportional to 142,614.34, 213,928.41 and 117,608.72

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Solution

The fourth proportional to 142,614.34, 213,928.41 and 117,608.72 is: 176,418.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,614.34 : 213,928.41 = 117,608.72 : x
  2. Step 2: Convert to fraction form
    142,614.34/213,928.41 = 117,608.72/x
  3. Step 3: Cross multiply
    142,614.34x = 213,928.41 × 117,608.72
  4. Step 4: Simplify right side
    142,614.34x = 25,159,847,567.99
  5. Step 5: Solve for x
    x = 25,159,847,567.99/142,614.34
  6. Step 6: Final answer
    x = 176,418.78

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1.5x scale

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.