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Finding the Fourth Proportional to 243,826.56, 336,508.56 and 136,423.80

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Solution

The fourth proportional to 243,826.56, 336,508.56 and 136,423.80 is: 188,280.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,826.56 : 336,508.56 = 136,423.80 : x
  2. Step 2: Convert to fraction form
    243,826.56/336,508.56 = 136,423.80/x
  3. Step 3: Cross multiply
    243,826.56x = 336,508.56 × 136,423.80
  4. Step 4: Simplify right side
    243,826.56x = 45,907,776,487.73
  5. Step 5: Solve for x
    x = 45,907,776,487.73/243,826.56
  6. Step 6: Final answer
    x = 188,280.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.