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Finding the Fourth Proportional to 265,141, 365,894.64 and 145,909

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Solution

The fourth proportional to 265,141, 365,894.64 and 145,909 is: 201,354.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,141 : 365,894.64 = 145,909 : x
  2. Step 2: Convert to fraction form
    265,141/365,894.64 = 145,909/x
  3. Step 3: Cross multiply
    265,141x = 365,894.64 × 145,909
  4. Step 4: Simplify right side
    265,141x = 53,387,321,027.76
  5. Step 5: Solve for x
    x = 53,387,321,027.76/265,141
  6. Step 6: Final answer
    x = 201,354.45

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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.