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Finding the Fourth Proportional to 70,928.50, 97,882 and 39,098.54

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Solution

The fourth proportional to 70,928.50, 97,882 and 39,098.54 is: 53,956.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,928.50 : 97,882 = 39,098.54 : x
  2. Step 2: Convert to fraction form
    70,928.50/97,882 = 39,098.54/x
  3. Step 3: Cross multiply
    70,928.50x = 97,882 × 39,098.54
  4. Step 4: Simplify right side
    70,928.50x = 3,827,043,292.28
  5. Step 5: Solve for x
    x = 3,827,043,292.28/70,928.50
  6. Step 6: Final answer
    x = 53,956.35

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1.5x scale

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.