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Finding the Fourth Proportional to 70,947.86, 106,418.70 and 17,638.73

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Solution

The fourth proportional to 70,947.86, 106,418.70 and 17,638.73 is: 26,457.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,947.86 : 106,418.70 = 17,638.73 : x
  2. Step 2: Convert to fraction form
    70,947.86/106,418.70 = 17,638.73/x
  3. Step 3: Cross multiply
    70,947.86x = 106,418.70 × 17,638.73
  4. Step 4: Simplify right side
    70,947.86x = 1,877,090,184.16
  5. Step 5: Solve for x
    x = 1,877,090,184.16/70,947.86
  6. Step 6: Final answer
    x = 26,457.32

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1.5x scale

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.