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Finding the Fourth Proportional to 65,412.48, 90,272 and 37,120.80

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Solution

The fourth proportional to 65,412.48, 90,272 and 37,120.80 is: 51,228.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,412.48 : 90,272 = 37,120.80 : x
  2. Step 2: Convert to fraction form
    65,412.48/90,272 = 37,120.80/x
  3. Step 3: Cross multiply
    65,412.48x = 90,272 × 37,120.80
  4. Step 4: Simplify right side
    65,412.48x = 3,350,968,857.60
  5. Step 5: Solve for x
    x = 3,350,968,857.60/65,412.48
  6. Step 6: Final answer
    x = 51,228.28

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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.