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Finding the Fourth Proportional to 125,382.33, 188,068.64 and 31,890.51

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Solution

The fourth proportional to 125,382.33, 188,068.64 and 31,890.51 is: 47,834.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,382.33 : 188,068.64 = 31,890.51 : x
  2. Step 2: Convert to fraction form
    125,382.33/188,068.64 = 31,890.51/x
  3. Step 3: Cross multiply
    125,382.33x = 188,068.64 × 31,890.51
  4. Step 4: Simplify right side
    125,382.33x = 5,997,604,685.15
  5. Step 5: Solve for x
    x = 5,997,604,685.15/125,382.33
  6. Step 6: Final answer
    x = 47,834.53

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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.