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Finding the Fourth Proportional to 153,200.78, 229,727.35 and 53,358.76

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Solution

The fourth proportional to 153,200.78, 229,727.35 and 53,358.76 is: 80,012.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,200.78 : 229,727.35 = 53,358.76 : x
  2. Step 2: Convert to fraction form
    153,200.78/229,727.35 = 53,358.76/x
  3. Step 3: Cross multiply
    153,200.78x = 229,727.35 × 53,358.76
  4. Step 4: Simplify right side
    153,200.78x = 12,257,965,826.37
  5. Step 5: Solve for x
    x = 12,257,965,826.37/153,200.78
  6. Step 6: Final answer
    x = 80,012.43

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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.