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Finding the Fourth Proportional to 70,906.40, 97,855.12 and 39,078.24

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Solution

The fourth proportional to 70,906.40, 97,855.12 and 39,078.24 is: 53,930.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,906.40 : 97,855.12 = 39,078.24 : x
  2. Step 2: Convert to fraction form
    70,906.40/97,855.12 = 39,078.24/x
  3. Step 3: Cross multiply
    70,906.40x = 97,855.12 × 39,078.24
  4. Step 4: Simplify right side
    70,906.40x = 3,824,005,864.59
  5. Step 5: Solve for x
    x = 3,824,005,864.59/70,906.40
  6. Step 6: Final answer
    x = 53,930.33

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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.