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Finding the Fourth Proportional to 113,163.66, 156,168.36 and 65,419.02

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Solution

The fourth proportional to 113,163.66, 156,168.36 and 65,419.02 is: 90,279.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,163.66 : 156,168.36 = 65,419.02 : x
  2. Step 2: Convert to fraction form
    113,163.66/156,168.36 = 65,419.02/x
  3. Step 3: Cross multiply
    113,163.66x = 156,168.36 × 65,419.02
  4. Step 4: Simplify right side
    113,163.66x = 10,216,381,066.21
  5. Step 5: Solve for x
    x = 10,216,381,066.21/113,163.66
  6. Step 6: Final answer
    x = 90,279.70

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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.