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Finding the Fourth Proportional to 265,856.34, 398,782.46 and 66,175.38

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Solution

The fourth proportional to 265,856.34, 398,782.46 and 66,175.38 is: 99,262.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,856.34 : 398,782.46 = 66,175.38 : x
  2. Step 2: Convert to fraction form
    265,856.34/398,782.46 = 66,175.38/x
  3. Step 3: Cross multiply
    265,856.34x = 398,782.46 × 66,175.38
  4. Step 4: Simplify right side
    265,856.34x = 26,389,580,827.83
  5. Step 5: Solve for x
    x = 26,389,580,827.83/265,856.34
  6. Step 6: Final answer
    x = 99,262.56

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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.