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Finding the Fourth Proportional to 235,429.20, 353,143.80 and 142,117.20

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Solution

The fourth proportional to 235,429.20, 353,143.80 and 142,117.20 is: 213,175.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,429.20 : 353,143.80 = 142,117.20 : x
  2. Step 2: Convert to fraction form
    235,429.20/353,143.80 = 142,117.20/x
  3. Step 3: Cross multiply
    235,429.20x = 353,143.80 × 142,117.20
  4. Step 4: Simplify right side
    235,429.20x = 50,187,808,053.36
  5. Step 5: Solve for x
    x = 50,187,808,053.36/235,429.20
  6. Step 6: Final answer
    x = 213,175.80

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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.