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Finding the Fourth Proportional to 70,261.75, 105,384.86 and 17,671.26

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Solution

The fourth proportional to 70,261.75, 105,384.86 and 17,671.26 is: 26,504.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,261.75 : 105,384.86 = 17,671.26 : x
  2. Step 2: Convert to fraction form
    70,261.75/105,384.86 = 17,671.26/x
  3. Step 3: Cross multiply
    70,261.75x = 105,384.86 × 17,671.26
  4. Step 4: Simplify right side
    70,261.75x = 1,862,282,778.38
  5. Step 5: Solve for x
    x = 1,862,282,778.38/70,261.75
  6. Step 6: Final answer
    x = 26,504.93

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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.