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Finding the Fourth Proportional to 265,777.64, 398,717.80 and 85,911.48

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Solution

The fourth proportional to 265,777.64, 398,717.80 and 85,911.48 is: 128,883.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,777.64 : 398,717.80 = 85,911.48 : x
  2. Step 2: Convert to fraction form
    265,777.64/398,717.80 = 85,911.48/x
  3. Step 3: Cross multiply
    265,777.64x = 398,717.80 × 85,911.48
  4. Step 4: Simplify right side
    265,777.64x = 34,254,436,300.34
  5. Step 5: Solve for x
    x = 34,254,436,300.34/265,777.64
  6. Step 6: Final answer
    x = 128,883.82

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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.