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Finding the Fourth Proportional to 70,647.84, 97,496.64 and 38,819.76

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Solution

The fourth proportional to 70,647.84, 97,496.64 and 38,819.76 is: 53,572.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,647.84 : 97,496.64 = 38,819.76 : x
  2. Step 2: Convert to fraction form
    70,647.84/97,496.64 = 38,819.76/x
  3. Step 3: Cross multiply
    70,647.84x = 97,496.64 × 38,819.76
  4. Step 4: Simplify right side
    70,647.84x = 3,784,796,165.61
  5. Step 5: Solve for x
    x = 3,784,796,165.61/70,647.84
  6. Step 6: Final answer
    x = 53,572.71

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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.