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Finding the Fourth Proportional to 70,876.92, 97,811.40 and 39,045.60

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Solution

The fourth proportional to 70,876.92, 97,811.40 and 39,045.60 is: 53,883.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,876.92 : 97,811.40 = 39,045.60 : x
  2. Step 2: Convert to fraction form
    70,876.92/97,811.40 = 39,045.60/x
  3. Step 3: Cross multiply
    70,876.92x = 97,811.40 × 39,045.60
  4. Step 4: Simplify right side
    70,876.92x = 3,819,104,799.84
  5. Step 5: Solve for x
    x = 3,819,104,799.84/70,876.92
  6. Step 6: Final answer
    x = 53,883.62

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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.