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Finding the Fourth Proportional to 111,729.22, 154,216.92 and 65,829.22

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Solution

The fourth proportional to 111,729.22, 154,216.92 and 65,829.22 is: 90,862.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,729.22 : 154,216.92 = 65,829.22 : x
  2. Step 2: Convert to fraction form
    111,729.22/154,216.92 = 65,829.22/x
  3. Step 3: Cross multiply
    111,729.22x = 154,216.92 × 65,829.22
  4. Step 4: Simplify right side
    111,729.22x = 10,151,979,554.40
  5. Step 5: Solve for x
    x = 10,151,979,554.40/111,729.22
  6. Step 6: Final answer
    x = 90,862.35

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1.5x scale

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.