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Finding the Fourth Proportional to 70,250.48, 105,431.08 and 30,834.80

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Solution

The fourth proportional to 70,250.48, 105,431.08 and 30,834.80 is: 46,276.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,250.48 : 105,431.08 = 30,834.80 : x
  2. Step 2: Convert to fraction form
    70,250.48/105,431.08 = 30,834.80/x
  3. Step 3: Cross multiply
    70,250.48x = 105,431.08 × 30,834.80
  4. Step 4: Simplify right side
    70,250.48x = 3,250,946,265.58
  5. Step 5: Solve for x
    x = 3,250,946,265.58/70,250.48
  6. Step 6: Final answer
    x = 46,276.50

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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.