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Finding the Fourth Proportional to 125,825.50, 188,767.41 and 42,719.50

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Solution

The fourth proportional to 125,825.50, 188,767.41 and 42,719.50 is: 64,089.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,825.50 : 188,767.41 = 42,719.50 : x
  2. Step 2: Convert to fraction form
    125,825.50/188,767.41 = 42,719.50/x
  3. Step 3: Cross multiply
    125,825.50x = 188,767.41 × 42,719.50
  4. Step 4: Simplify right side
    125,825.50x = 8,064,049,371.50
  5. Step 5: Solve for x
    x = 8,064,049,371.50/125,825.50
  6. Step 6: Final answer
    x = 64,089.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.