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Finding the Fourth Proportional to 265,140, 365,893.26 and 145,908

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Solution

The fourth proportional to 265,140, 365,893.26 and 145,908 is: 201,353.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,140 : 365,893.26 = 145,908 : x
  2. Step 2: Convert to fraction form
    265,140/365,893.26 = 145,908/x
  3. Step 3: Cross multiply
    265,140x = 365,893.26 × 145,908
  4. Step 4: Simplify right side
    265,140x = 53,386,753,780.08
  5. Step 5: Solve for x
    x = 53,386,753,780.08/265,140
  6. Step 6: Final answer
    x = 201,353.07

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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.