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Finding the Fourth Proportional to 228,730.80, 342,769.29 and 128,682

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Solution

The fourth proportional to 228,730.80, 342,769.29 and 128,682 is: 192,839.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,730.80 : 342,769.29 = 128,682 : x
  2. Step 2: Convert to fraction form
    228,730.80/342,769.29 = 128,682/x
  3. Step 3: Cross multiply
    228,730.80x = 342,769.29 × 128,682
  4. Step 4: Simplify right side
    228,730.80x = 44,108,237,775.78
  5. Step 5: Solve for x
    x = 44,108,237,775.78/228,730.80
  6. Step 6: Final answer
    x = 192,839.08

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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.