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Finding the Fourth Proportional to 78,496.74, 117,749.19 and 25,910.34

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Solution

The fourth proportional to 78,496.74, 117,749.19 and 25,910.34 is: 38,866.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,496.74 : 117,749.19 = 25,910.34 : x
  2. Step 2: Convert to fraction form
    78,496.74/117,749.19 = 25,910.34/x
  3. Step 3: Cross multiply
    78,496.74x = 117,749.19 × 25,910.34
  4. Step 4: Simplify right side
    78,496.74x = 3,050,921,547.62
  5. Step 5: Solve for x
    x = 3,050,921,547.62/78,496.74
  6. Step 6: Final answer
    x = 38,866.86

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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.