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Finding the Fourth Proportional to 265,664.82, 398,521.16 and 85,754.51

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Solution

The fourth proportional to 265,664.82, 398,521.16 and 85,754.51 is: 128,639.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,664.82 : 398,521.16 = 85,754.51 : x
  2. Step 2: Convert to fraction form
    265,664.82/398,521.16 = 85,754.51/x
  3. Step 3: Cross multiply
    265,664.82x = 398,521.16 × 85,754.51
  4. Step 4: Simplify right side
    265,664.82x = 34,174,987,227.64
  5. Step 5: Solve for x
    x = 34,174,987,227.64/265,664.82
  6. Step 6: Final answer
    x = 128,639.49

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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.