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Finding the Fourth Proportional to 111,509.12, 153,878.08 and 66,821.76

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Solution

The fourth proportional to 111,509.12, 153,878.08 and 66,821.76 is: 92,211.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,509.12 : 153,878.08 = 66,821.76 : x
  2. Step 2: Convert to fraction form
    111,509.12/153,878.08 = 66,821.76/x
  3. Step 3: Cross multiply
    111,509.12x = 153,878.08 × 66,821.76
  4. Step 4: Simplify right side
    111,509.12x = 10,282,404,131.02
  5. Step 5: Solve for x
    x = 10,282,404,131.02/111,509.12
  6. Step 6: Final answer
    x = 92,211.33

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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.