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Finding the Fourth Proportional to 228,524.32, 342,576.54 and 78,729

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Solution

The fourth proportional to 228,524.32, 342,576.54 and 78,729 is: 118,021.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,524.32 : 342,576.54 = 78,729 : x
  2. Step 2: Convert to fraction form
    228,524.32/342,576.54 = 78,729/x
  3. Step 3: Cross multiply
    228,524.32x = 342,576.54 × 78,729
  4. Step 4: Simplify right side
    228,524.32x = 26,970,708,417.66
  5. Step 5: Solve for x
    x = 26,970,708,417.66/228,524.32
  6. Step 6: Final answer
    x = 118,021.17

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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.