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Finding the Fourth Proportional to 64,651.70, 89,218.27 and 35,971.06

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Solution

The fourth proportional to 64,651.70, 89,218.27 and 35,971.06 is: 49,639.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,651.70 : 89,218.27 = 35,971.06 : x
  2. Step 2: Convert to fraction form
    64,651.70/89,218.27 = 35,971.06/x
  3. Step 3: Cross multiply
    64,651.70x = 89,218.27 × 35,971.06
  4. Step 4: Simplify right side
    64,651.70x = 3,209,275,743.27
  5. Step 5: Solve for x
    x = 3,209,275,743.27/64,651.70
  6. Step 6: Final answer
    x = 49,639.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.