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Finding the Fourth Proportional to 70,262.25, 105,385.61 and 17,671.76

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Solution

The fourth proportional to 70,262.25, 105,385.61 and 17,671.76 is: 26,505.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,262.25 : 105,385.61 = 17,671.76 : x
  2. Step 2: Convert to fraction form
    70,262.25/105,385.61 = 17,671.76/x
  3. Step 3: Cross multiply
    70,262.25x = 105,385.61 × 17,671.76
  4. Step 4: Simplify right side
    70,262.25x = 1,862,348,724.62
  5. Step 5: Solve for x
    x = 1,862,348,724.62/70,262.25
  6. Step 6: Final answer
    x = 26,505.68

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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.