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Finding the Fourth Proportional to 70,709.88, 97,581.96 and 38,881.20

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Solution

The fourth proportional to 70,709.88, 97,581.96 and 38,881.20 is: 53,657.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,709.88 : 97,581.96 = 38,881.20 : x
  2. Step 2: Convert to fraction form
    70,709.88/97,581.96 = 38,881.20/x
  3. Step 3: Cross multiply
    70,709.88x = 97,581.96 × 38,881.20
  4. Step 4: Simplify right side
    70,709.88x = 3,794,103,703.15
  5. Step 5: Solve for x
    x = 3,794,103,703.15/70,709.88
  6. Step 6: Final answer
    x = 53,657.33

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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.