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Finding the Fourth Proportional to 265,701.96, 398,494.26 and 78,650.28

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Solution

The fourth proportional to 265,701.96, 398,494.26 and 78,650.28 is: 117,958.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,701.96 : 398,494.26 = 78,650.28 : x
  2. Step 2: Convert to fraction form
    265,701.96/398,494.26 = 78,650.28/x
  3. Step 3: Cross multiply
    265,701.96x = 398,494.26 × 78,650.28
  4. Step 4: Simplify right side
    265,701.96x = 31,341,685,127.39
  5. Step 5: Solve for x
    x = 31,341,685,127.39/265,701.96
  6. Step 6: Final answer
    x = 117,958.05

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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.