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Finding the Fourth Proportional to 125,394, 188,091 and 42,288

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Solution

The fourth proportional to 125,394, 188,091 and 42,288 is: 63,432

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,394 : 188,091 = 42,288 : x
  2. Step 2: Convert to fraction form
    125,394/188,091 = 42,288/x
  3. Step 3: Cross multiply
    125,394x = 188,091 × 42,288
  4. Step 4: Simplify right side
    125,394x = 7,953,992,208
  5. Step 5: Solve for x
    x = 7,953,992,208/125,394
  6. Step 6: Final answer
    x = 63,432

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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.