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Finding the Fourth Proportional to 70,979.68, 106,338.30 and 35,835.40

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Solution

The fourth proportional to 70,979.68, 106,338.30 and 35,835.40 is: 53,686.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,979.68 : 106,338.30 = 35,835.40 : x
  2. Step 2: Convert to fraction form
    70,979.68/106,338.30 = 35,835.40/x
  3. Step 3: Cross multiply
    70,979.68x = 106,338.30 × 35,835.40
  4. Step 4: Simplify right side
    70,979.68x = 3,810,675,515.82
  5. Step 5: Solve for x
    x = 3,810,675,515.82/70,979.68
  6. Step 6: Final answer
    x = 53,686.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.