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Finding the Fourth Proportional to 65,146.60, 89,943.78 and 40,004.20

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Solution

The fourth proportional to 65,146.60, 89,943.78 and 40,004.20 is: 55,231.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,146.60 : 89,943.78 = 40,004.20 : x
  2. Step 2: Convert to fraction form
    65,146.60/89,943.78 = 40,004.20/x
  3. Step 3: Cross multiply
    65,146.60x = 89,943.78 × 40,004.20
  4. Step 4: Simplify right side
    65,146.60x = 3,598,128,963.88
  5. Step 5: Solve for x
    x = 3,598,128,963.88/65,146.60
  6. Step 6: Final answer
    x = 55,231.26

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1.5x scale

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.