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Finding the Fourth Proportional to 70,947.93, 106,418.81 and 17,638.79

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Solution

The fourth proportional to 70,947.93, 106,418.81 and 17,638.79 is: 26,457.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,947.93 : 106,418.81 = 17,638.79 : x
  2. Step 2: Convert to fraction form
    70,947.93/106,418.81 = 17,638.79/x
  3. Step 3: Cross multiply
    70,947.93x = 106,418.81 × 17,638.79
  4. Step 4: Simplify right side
    70,947.93x = 1,877,098,852.95
  5. Step 5: Solve for x
    x = 1,877,098,852.95/70,947.93
  6. Step 6: Final answer
    x = 26,457.42

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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.