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Finding the Fourth Proportional to 265,828.62, 398,742.02 and 66,148.98

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Solution

The fourth proportional to 265,828.62, 398,742.02 and 66,148.98 is: 99,223.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,828.62 : 398,742.02 = 66,148.98 : x
  2. Step 2: Convert to fraction form
    265,828.62/398,742.02 = 66,148.98/x
  3. Step 3: Cross multiply
    265,828.62x = 398,742.02 × 66,148.98
  4. Step 4: Simplify right side
    265,828.62x = 26,376,377,906.14
  5. Step 5: Solve for x
    x = 26,376,377,906.14/265,828.62
  6. Step 6: Final answer
    x = 99,223.24

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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.