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Finding the Fourth Proportional to 265,729.71, 398,657.44 and 105,814.90

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Solution

The fourth proportional to 265,729.71, 398,657.44 and 105,814.90 is: 158,747.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,729.71 : 398,657.44 = 105,814.90 : x
  2. Step 2: Convert to fraction form
    265,729.71/398,657.44 = 105,814.90/x
  3. Step 3: Cross multiply
    265,729.71x = 398,657.44 × 105,814.90
  4. Step 4: Simplify right side
    265,729.71x = 42,183,897,147.86
  5. Step 5: Solve for x
    x = 42,183,897,147.86/265,729.71
  6. Step 6: Final answer
    x = 158,747.39

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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.