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Finding the Fourth Proportional to 70,947.70, 97,908.48 and 39,117.72

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Solution

The fourth proportional to 70,947.70, 97,908.48 and 39,117.72 is: 53,982.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,947.70 : 97,908.48 = 39,117.72 : x
  2. Step 2: Convert to fraction form
    70,947.70/97,908.48 = 39,117.72/x
  3. Step 3: Cross multiply
    70,947.70x = 97,908.48 × 39,117.72
  4. Step 4: Simplify right side
    70,947.70x = 3,829,956,506.27
  5. Step 5: Solve for x
    x = 3,829,956,506.27/70,947.70
  6. Step 6: Final answer
    x = 53,982.81

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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.