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Finding the Fourth Proportional to 70,856.32, 97,781.11 and 39,024.54

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Solution

The fourth proportional to 70,856.32, 97,781.11 and 39,024.54 is: 53,853.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,856.32 : 97,781.11 = 39,024.54 : x
  2. Step 2: Convert to fraction form
    70,856.32/97,781.11 = 39,024.54/x
  3. Step 3: Cross multiply
    70,856.32x = 97,781.11 × 39,024.54
  4. Step 4: Simplify right side
    70,856.32x = 3,815,862,838.44
  5. Step 5: Solve for x
    x = 3,815,862,838.44/70,856.32
  6. Step 6: Final answer
    x = 53,853.53

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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.