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Finding the Fourth Proportional to 125,408.16, 188,138.16 and 42,300

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Solution

The fourth proportional to 125,408.16, 188,138.16 and 42,300 is: 63,458.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,408.16 : 188,138.16 = 42,300 : x
  2. Step 2: Convert to fraction form
    125,408.16/188,138.16 = 42,300/x
  3. Step 3: Cross multiply
    125,408.16x = 188,138.16 × 42,300
  4. Step 4: Simplify right side
    125,408.16x = 7,958,244,168
  5. Step 5: Solve for x
    x = 7,958,244,168/125,408.16
  6. Step 6: Final answer
    x = 63,458.74

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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.