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Finding the Fourth Proportional to 128,949.94, 193,363.89 and 47,870.32

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Solution

The fourth proportional to 128,949.94, 193,363.89 and 47,870.32 is: 71,782.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,949.94 : 193,363.89 = 47,870.32 : x
  2. Step 2: Convert to fraction form
    128,949.94/193,363.89 = 47,870.32/x
  3. Step 3: Cross multiply
    128,949.94x = 193,363.89 × 47,870.32
  4. Step 4: Simplify right side
    128,949.94x = 9,256,391,290.74
  5. Step 5: Solve for x
    x = 9,256,391,290.74/128,949.94
  6. Step 6: Final answer
    x = 71,782.83

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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.