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Finding the Fourth Proportional to 102,442.78, 153,374.39 and 54,301.69

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Solution

The fourth proportional to 102,442.78, 153,374.39 and 54,301.69 is: 81,298.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,442.78 : 153,374.39 = 54,301.69 : x
  2. Step 2: Convert to fraction form
    102,442.78/153,374.39 = 54,301.69/x
  3. Step 3: Cross multiply
    102,442.78x = 153,374.39 × 54,301.69
  4. Step 4: Simplify right side
    102,442.78x = 8,328,488,703.56
  5. Step 5: Solve for x
    x = 8,328,488,703.56/102,442.78
  6. Step 6: Final answer
    x = 81,298.94

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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.