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Finding the Fourth Proportional to 265,142, 365,896.02 and 145,910

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Solution

The fourth proportional to 265,142, 365,896.02 and 145,910 is: 201,355.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,142 : 365,896.02 = 145,910 : x
  2. Step 2: Convert to fraction form
    265,142/365,896.02 = 145,910/x
  3. Step 3: Cross multiply
    265,142x = 365,896.02 × 145,910
  4. Step 4: Simplify right side
    265,142x = 53,387,888,278.20
  5. Step 5: Solve for x
    x = 53,387,888,278.20/265,142
  6. Step 6: Final answer
    x = 201,355.83

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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.