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Finding the Fourth Proportional to 85,894.66, 128,892.22 and 35,970.56

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Solution

The fourth proportional to 85,894.66, 128,892.22 and 35,970.56 is: 53,976.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,894.66 : 128,892.22 = 35,970.56 : x
  2. Step 2: Convert to fraction form
    85,894.66/128,892.22 = 35,970.56/x
  3. Step 3: Cross multiply
    85,894.66x = 128,892.22 × 35,970.56
  4. Step 4: Simplify right side
    85,894.66x = 4,636,325,333.04
  5. Step 5: Solve for x
    x = 4,636,325,333.04/85,894.66
  6. Step 6: Final answer
    x = 53,976.88

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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.