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Finding the Fourth Proportional to 70,997.32, 97,972.34 and 39,159.88

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Solution

The fourth proportional to 70,997.32, 97,972.34 and 39,159.88 is: 54,038.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,997.32 : 97,972.34 = 39,159.88 : x
  2. Step 2: Convert to fraction form
    70,997.32/97,972.34 = 39,159.88/x
  3. Step 3: Cross multiply
    70,997.32x = 97,972.34 × 39,159.88
  4. Step 4: Simplify right side
    70,997.32x = 3,836,585,077.72
  5. Step 5: Solve for x
    x = 3,836,585,077.72/70,997.32
  6. Step 6: Final answer
    x = 54,038.45

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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.