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Finding the Fourth Proportional to 70,133.31, 105,199.25 and 17,542.80

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Solution

The fourth proportional to 70,133.31, 105,199.25 and 17,542.80 is: 26,314.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,133.31 : 105,199.25 = 17,542.80 : x
  2. Step 2: Convert to fraction form
    70,133.31/105,199.25 = 17,542.80/x
  3. Step 3: Cross multiply
    70,133.31x = 105,199.25 × 17,542.80
  4. Step 4: Simplify right side
    70,133.31x = 1,845,489,315.19
  5. Step 5: Solve for x
    x = 1,845,489,315.19/70,133.31
  6. Step 6: Final answer
    x = 26,314.02

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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.