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Finding the Fourth Proportional to 68,156.74, 102,272.02 and 65,671.76

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Solution

The fourth proportional to 68,156.74, 102,272.02 and 65,671.76 is: 98,543.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,156.74 : 102,272.02 = 65,671.76 : x
  2. Step 2: Convert to fraction form
    68,156.74/102,272.02 = 65,671.76/x
  3. Step 3: Cross multiply
    68,156.74x = 102,272.02 × 65,671.76
  4. Step 4: Simplify right side
    68,156.74x = 6,716,383,643.66
  5. Step 5: Solve for x
    x = 6,716,383,643.66/68,156.74
  6. Step 6: Final answer
    x = 98,543.20

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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.