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Finding the Fourth Proportional to 70,590.97, 97,417.11 and 38,760

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Solution

The fourth proportional to 70,590.97, 97,417.11 and 38,760 is: 53,489.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,590.97 : 97,417.11 = 38,760 : x
  2. Step 2: Convert to fraction form
    70,590.97/97,417.11 = 38,760/x
  3. Step 3: Cross multiply
    70,590.97x = 97,417.11 × 38,760
  4. Step 4: Simplify right side
    70,590.97x = 3,775,887,183.60
  5. Step 5: Solve for x
    x = 3,775,887,183.60/70,590.97
  6. Step 6: Final answer
    x = 53,489.66

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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.