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Finding the Fourth Proportional to 111,655.12, 154,083.84 and 61,354

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Solution

The fourth proportional to 111,655.12, 154,083.84 and 61,354 is: 84,668.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,655.12 : 154,083.84 = 61,354 : x
  2. Step 2: Convert to fraction form
    111,655.12/154,083.84 = 61,354/x
  3. Step 3: Cross multiply
    111,655.12x = 154,083.84 × 61,354
  4. Step 4: Simplify right side
    111,655.12x = 9,453,659,919.36
  5. Step 5: Solve for x
    x = 9,453,659,919.36/111,655.12
  6. Step 6: Final answer
    x = 84,668.40

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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.