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Finding the Fourth Proportional to 165,378.63, 247,755.78 and 97,708.74

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Solution

The fourth proportional to 165,378.63, 247,755.78 and 97,708.74 is: 146,378.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,378.63 : 247,755.78 = 97,708.74 : x
  2. Step 2: Convert to fraction form
    165,378.63/247,755.78 = 97,708.74/x
  3. Step 3: Cross multiply
    165,378.63x = 247,755.78 × 97,708.74
  4. Step 4: Simplify right side
    165,378.63x = 24,207,905,091.52
  5. Step 5: Solve for x
    x = 24,207,905,091.52/165,378.63
  6. Step 6: Final answer
    x = 146,378.68

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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.