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Finding the Fourth Proportional to 128,004.16, 191,863.16 and 47,965.14

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Solution

The fourth proportional to 128,004.16, 191,863.16 and 47,965.14 is: 71,894.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,004.16 : 191,863.16 = 47,965.14 : x
  2. Step 2: Convert to fraction form
    128,004.16/191,863.16 = 47,965.14/x
  3. Step 3: Cross multiply
    128,004.16x = 191,863.16 × 47,965.14
  4. Step 4: Simplify right side
    128,004.16x = 9,202,743,330.24
  5. Step 5: Solve for x
    x = 9,202,743,330.24/128,004.16
  6. Step 6: Final answer
    x = 71,894.10

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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.