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Finding the Fourth Proportional to 115,947, 173,920.50 and 28,395

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Solution

The fourth proportional to 115,947, 173,920.50 and 28,395 is: 42,592.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,947 : 173,920.50 = 28,395 : x
  2. Step 2: Convert to fraction form
    115,947/173,920.50 = 28,395/x
  3. Step 3: Cross multiply
    115,947x = 173,920.50 × 28,395
  4. Step 4: Simplify right side
    115,947x = 4,938,472,597.50
  5. Step 5: Solve for x
    x = 4,938,472,597.50/115,947
  6. Step 6: Final answer
    x = 42,592.50

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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.