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Finding the Fourth Proportional to 125,391, 188,097.45 and 31,896.75

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Solution

The fourth proportional to 125,391, 188,097.45 and 31,896.75 is: 47,847.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,391 : 188,097.45 = 31,896.75 : x
  2. Step 2: Convert to fraction form
    125,391/188,097.45 = 31,896.75/x
  3. Step 3: Cross multiply
    125,391x = 188,097.45 × 31,896.75
  4. Step 4: Simplify right side
    125,391x = 5,999,697,338.29
  5. Step 5: Solve for x
    x = 5,999,697,338.29/125,391
  6. Step 6: Final answer
    x = 47,847.91

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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.