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Finding the Fourth Proportional to 92,250, 138,375 and 29,920.50

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Solution

The fourth proportional to 92,250, 138,375 and 29,920.50 is: 44,880.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,250 : 138,375 = 29,920.50 : x
  2. Step 2: Convert to fraction form
    92,250/138,375 = 29,920.50/x
  3. Step 3: Cross multiply
    92,250x = 138,375 × 29,920.50
  4. Step 4: Simplify right side
    92,250x = 4,140,249,187.50
  5. Step 5: Solve for x
    x = 4,140,249,187.50/92,250
  6. Step 6: Final answer
    x = 44,880.75

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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.