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Finding the Fourth Proportional to 265,344.42, 398,015.72 and 107,572.50

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Solution

The fourth proportional to 265,344.42, 398,015.72 and 107,572.50 is: 161,358.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,344.42 : 398,015.72 = 107,572.50 : x
  2. Step 2: Convert to fraction form
    265,344.42/398,015.72 = 107,572.50/x
  3. Step 3: Cross multiply
    265,344.42x = 398,015.72 × 107,572.50
  4. Step 4: Simplify right side
    265,344.42x = 42,815,546,039.70
  5. Step 5: Solve for x
    x = 42,815,546,039.70/265,344.42
  6. Step 6: Final answer
    x = 161,358.38

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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.