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Finding the Fourth Proportional to 70,983.68, 97,958 and 39,151.76

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Solution

The fourth proportional to 70,983.68, 97,958 and 39,151.76 is: 54,029.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,983.68 : 97,958 = 39,151.76 : x
  2. Step 2: Convert to fraction form
    70,983.68/97,958 = 39,151.76/x
  3. Step 3: Cross multiply
    70,983.68x = 97,958 × 39,151.76
  4. Step 4: Simplify right side
    70,983.68x = 3,835,228,106.08
  5. Step 5: Solve for x
    x = 3,835,228,106.08/70,983.68
  6. Step 6: Final answer
    x = 54,029.72

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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.