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Finding the Fourth Proportional to 70,830.52, 106,193.70 and 42,760.60

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Solution

The fourth proportional to 70,830.52, 106,193.70 and 42,760.60 is: 64,109.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,830.52 : 106,193.70 = 42,760.60 : x
  2. Step 2: Convert to fraction form
    70,830.52/106,193.70 = 42,760.60/x
  3. Step 3: Cross multiply
    70,830.52x = 106,193.70 × 42,760.60
  4. Step 4: Simplify right side
    70,830.52x = 4,540,906,328.22
  5. Step 5: Solve for x
    x = 4,540,906,328.22/70,830.52
  6. Step 6: Final answer
    x = 64,109.46

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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.