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Finding the Fourth Proportional to 65,474.31, 90,354.55 and 35,666.31

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Solution

The fourth proportional to 65,474.31, 90,354.55 and 35,666.31 is: 49,219.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,474.31 : 90,354.55 = 35,666.31 : x
  2. Step 2: Convert to fraction form
    65,474.31/90,354.55 = 35,666.31/x
  3. Step 3: Cross multiply
    65,474.31x = 90,354.55 × 35,666.31
  4. Step 4: Simplify right side
    65,474.31x = 3,222,613,390.21
  5. Step 5: Solve for x
    x = 3,222,613,390.21/65,474.31
  6. Step 6: Final answer
    x = 49,219.51

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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.