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Finding the Fourth Proportional to 265,883.23, 366,920 and 145,027.12

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Solution

The fourth proportional to 265,883.23, 366,920 and 145,027.12 is: 200,138.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,883.23 : 366,920 = 145,027.12 : x
  2. Step 2: Convert to fraction form
    265,883.23/366,920 = 145,027.12/x
  3. Step 3: Cross multiply
    265,883.23x = 366,920 × 145,027.12
  4. Step 4: Simplify right side
    265,883.23x = 53,213,349,035.80
  5. Step 5: Solve for x
    x = 53,213,349,035.80/265,883.23
  6. Step 6: Final answer
    x = 200,138.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.