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Finding the Fourth Proportional to 70,382.88, 105,564.60 and 17,789.19

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Solution

The fourth proportional to 70,382.88, 105,564.60 and 17,789.19 is: 26,681.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,382.88 : 105,564.60 = 17,789.19 : x
  2. Step 2: Convert to fraction form
    70,382.88/105,564.60 = 17,789.19/x
  3. Step 3: Cross multiply
    70,382.88x = 105,564.60 × 17,789.19
  4. Step 4: Simplify right side
    70,382.88x = 1,877,908,726.67
  5. Step 5: Solve for x
    x = 1,877,908,726.67/70,382.88
  6. Step 6: Final answer
    x = 26,681.33

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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.