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Finding the Fourth Proportional to 111,730.72, 154,037.47 and 75,858.45

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Solution

The fourth proportional to 111,730.72, 154,037.47 and 75,858.45 is: 104,582.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,730.72 : 154,037.47 = 75,858.45 : x
  2. Step 2: Convert to fraction form
    111,730.72/154,037.47 = 75,858.45/x
  3. Step 3: Cross multiply
    111,730.72x = 154,037.47 × 75,858.45
  4. Step 4: Simplify right side
    111,730.72x = 11,685,043,737.65
  5. Step 5: Solve for x
    x = 11,685,043,737.65/111,730.72
  6. Step 6: Final answer
    x = 104,582.20

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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.