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Finding the Fourth Proportional to 65,762.28, 90,763.79 and 37,090.71

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Solution

The fourth proportional to 65,762.28, 90,763.79 and 37,090.71 is: 51,191.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,762.28 : 90,763.79 = 37,090.71 : x
  2. Step 2: Convert to fraction form
    65,762.28/90,763.79 = 37,090.71/x
  3. Step 3: Cross multiply
    65,762.28x = 90,763.79 × 37,090.71
  4. Step 4: Simplify right side
    65,762.28x = 3,366,493,227.94
  5. Step 5: Solve for x
    x = 3,366,493,227.94/65,762.28
  6. Step 6: Final answer
    x = 51,191.86

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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.