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Finding the Fourth Proportional to 235,871.20, 353,806.80 and 157,139.20

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Solution

The fourth proportional to 235,871.20, 353,806.80 and 157,139.20 is: 235,708.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,871.20 : 353,806.80 = 157,139.20 : x
  2. Step 2: Convert to fraction form
    235,871.20/353,806.80 = 157,139.20/x
  3. Step 3: Cross multiply
    235,871.20x = 353,806.80 × 157,139.20
  4. Step 4: Simplify right side
    235,871.20x = 55,596,917,506.56
  5. Step 5: Solve for x
    x = 55,596,917,506.56/235,871.20
  6. Step 6: Final answer
    x = 235,708.80

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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.