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Finding the Fourth Proportional to 70,275.80, 105,471.30 and 67,971.80

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Solution

The fourth proportional to 70,275.80, 105,471.30 and 67,971.80 is: 102,013.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,275.80 : 105,471.30 = 67,971.80 : x
  2. Step 2: Convert to fraction form
    70,275.80/105,471.30 = 67,971.80/x
  3. Step 3: Cross multiply
    70,275.80x = 105,471.30 × 67,971.80
  4. Step 4: Simplify right side
    70,275.80x = 7,169,074,109.34
  5. Step 5: Solve for x
    x = 7,169,074,109.34/70,275.80
  6. Step 6: Final answer
    x = 102,013.41

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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.