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Finding the Fourth Proportional to 126,030.78, 173,914.32 and 75,047.24

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Solution

The fourth proportional to 126,030.78, 173,914.32 and 75,047.24 is: 103,560.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,030.78 : 173,914.32 = 75,047.24 : x
  2. Step 2: Convert to fraction form
    126,030.78/173,914.32 = 75,047.24/x
  3. Step 3: Cross multiply
    126,030.78x = 173,914.32 × 75,047.24
  4. Step 4: Simplify right side
    126,030.78x = 13,051,789,712.48
  5. Step 5: Solve for x
    x = 13,051,789,712.48/126,030.78
  6. Step 6: Final answer
    x = 103,560.33

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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.