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Finding the Fourth Proportional to 70,908.72, 97,854.70 and 39,078.78

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Solution

The fourth proportional to 70,908.72, 97,854.70 and 39,078.78 is: 53,929.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,908.72 : 97,854.70 = 39,078.78 : x
  2. Step 2: Convert to fraction form
    70,908.72/97,854.70 = 39,078.78/x
  3. Step 3: Cross multiply
    70,908.72x = 97,854.70 × 39,078.78
  4. Step 4: Simplify right side
    70,908.72x = 3,824,042,293.27
  5. Step 5: Solve for x
    x = 3,824,042,293.27/70,908.72
  6. Step 6: Final answer
    x = 53,929.08

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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.