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Finding the Fourth Proportional to 111,471.12, 153,825.48 and 61,166.88

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Solution

The fourth proportional to 111,471.12, 153,825.48 and 61,166.88 is: 84,407.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,471.12 : 153,825.48 = 61,166.88 : x
  2. Step 2: Convert to fraction form
    111,471.12/153,825.48 = 61,166.88/x
  3. Step 3: Cross multiply
    111,471.12x = 153,825.48 × 61,166.88
  4. Step 4: Simplify right side
    111,471.12x = 9,409,024,676.10
  5. Step 5: Solve for x
    x = 9,409,024,676.10/111,471.12
  6. Step 6: Final answer
    x = 84,407.73

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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.