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Finding the Fourth Proportional to 125,478.40, 173,409.06 and 102,781.42

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Solution

The fourth proportional to 125,478.40, 173,409.06 and 102,781.42 is: 142,042.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,478.40 : 173,409.06 = 102,781.42 : x
  2. Step 2: Convert to fraction form
    125,478.40/173,409.06 = 102,781.42/x
  3. Step 3: Cross multiply
    125,478.40x = 173,409.06 × 102,781.42
  4. Step 4: Simplify right side
    125,478.40x = 17,823,229,427.67
  5. Step 5: Solve for x
    x = 17,823,229,427.67/125,478.40
  6. Step 6: Final answer
    x = 142,042.21

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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.