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Finding the Fourth Proportional to 265,782.86, 398,683.70 and 66,104.29

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Solution

The fourth proportional to 265,782.86, 398,683.70 and 66,104.29 is: 99,158.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,782.86 : 398,683.70 = 66,104.29 : x
  2. Step 2: Convert to fraction form
    265,782.86/398,683.70 = 66,104.29/x
  3. Step 3: Cross multiply
    265,782.86x = 398,683.70 × 66,104.29
  4. Step 4: Simplify right side
    265,782.86x = 26,354,702,923.07
  5. Step 5: Solve for x
    x = 26,354,702,923.07/265,782.86
  6. Step 6: Final answer
    x = 99,158.78

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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.