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Finding the Fourth Proportional to 65,139.60, 97,720.20 and 27,717.60

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Solution

The fourth proportional to 65,139.60, 97,720.20 and 27,717.60 is: 41,581.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,139.60 : 97,720.20 = 27,717.60 : x
  2. Step 2: Convert to fraction form
    65,139.60/97,720.20 = 27,717.60/x
  3. Step 3: Cross multiply
    65,139.60x = 97,720.20 × 27,717.60
  4. Step 4: Simplify right side
    65,139.60x = 2,708,569,415.52
  5. Step 5: Solve for x
    x = 2,708,569,415.52/65,139.60
  6. Step 6: Final answer
    x = 41,581.00

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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.