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Finding the Fourth Proportional to 111,698.10, 154,141.65 and 61,396.02

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Solution

The fourth proportional to 111,698.10, 154,141.65 and 61,396.02 is: 84,725.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,698.10 : 154,141.65 = 61,396.02 : x
  2. Step 2: Convert to fraction form
    111,698.10/154,141.65 = 61,396.02/x
  3. Step 3: Cross multiply
    111,698.10x = 154,141.65 × 61,396.02
  4. Step 4: Simplify right side
    111,698.10x = 9,463,683,826.23
  5. Step 5: Solve for x
    x = 9,463,683,826.23/111,698.10
  6. Step 6: Final answer
    x = 84,725.56

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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.