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Finding the Fourth Proportional to 111,648, 154,074.24 and 61,347.36

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Solution

The fourth proportional to 111,648, 154,074.24 and 61,347.36 is: 84,659.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,648 : 154,074.24 = 61,347.36 : x
  2. Step 2: Convert to fraction form
    111,648/154,074.24 = 61,347.36/x
  3. Step 3: Cross multiply
    111,648x = 154,074.24 × 61,347.36
  4. Step 4: Simplify right side
    111,648x = 9,452,047,868.01
  5. Step 5: Solve for x
    x = 9,452,047,868.01/111,648
  6. Step 6: Final answer
    x = 84,659.36

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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.