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Finding the Fourth Proportional to 70,978.68, 106,336.80 and 35,834.40

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Solution

The fourth proportional to 70,978.68, 106,336.80 and 35,834.40 is: 53,685.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,978.68 : 106,336.80 = 35,834.40 : x
  2. Step 2: Convert to fraction form
    70,978.68/106,336.80 = 35,834.40/x
  3. Step 3: Cross multiply
    70,978.68x = 106,336.80 × 35,834.40
  4. Step 4: Simplify right side
    70,978.68x = 3,810,515,425.92
  5. Step 5: Solve for x
    x = 3,810,515,425.92/70,978.68
  6. Step 6: Final answer
    x = 53,685.35

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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.