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Finding the Fourth Proportional to 186,978.48, 258,040.80 and 102,103.44

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Solution

The fourth proportional to 186,978.48, 258,040.80 and 102,103.44 is: 140,908.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,978.48 : 258,040.80 = 102,103.44 : x
  2. Step 2: Convert to fraction form
    186,978.48/258,040.80 = 102,103.44/x
  3. Step 3: Cross multiply
    186,978.48x = 258,040.80 × 102,103.44
  4. Step 4: Simplify right side
    186,978.48x = 26,346,853,340.35
  5. Step 5: Solve for x
    x = 26,346,853,340.35/186,978.48
  6. Step 6: Final answer
    x = 140,908.48

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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.