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Finding the Fourth Proportional to 70,377.44, 97,116.72 and 38,540

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Solution

The fourth proportional to 70,377.44, 97,116.72 and 38,540 is: 53,182.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,377.44 : 97,116.72 = 38,540 : x
  2. Step 2: Convert to fraction form
    70,377.44/97,116.72 = 38,540/x
  3. Step 3: Cross multiply
    70,377.44x = 97,116.72 × 38,540
  4. Step 4: Simplify right side
    70,377.44x = 3,742,878,388.80
  5. Step 5: Solve for x
    x = 3,742,878,388.80/70,377.44
  6. Step 6: Final answer
    x = 53,182.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.