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Finding the Fourth Proportional to 125,486.16, 188,257.32 and 42,378

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Solution

The fourth proportional to 125,486.16, 188,257.32 and 42,378 is: 63,576.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,486.16 : 188,257.32 = 42,378 : x
  2. Step 2: Convert to fraction form
    125,486.16/188,257.32 = 42,378/x
  3. Step 3: Cross multiply
    125,486.16x = 188,257.32 × 42,378
  4. Step 4: Simplify right side
    125,486.16x = 7,977,968,706.96
  5. Step 5: Solve for x
    x = 7,977,968,706.96/125,486.16
  6. Step 6: Final answer
    x = 63,576.48

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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.