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Finding the Fourth Proportional to 70,170.54, 105,282 and 42,110.72

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Solution

The fourth proportional to 70,170.54, 105,282 and 42,110.72 is: 63,181.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,170.54 : 105,282 = 42,110.72 : x
  2. Step 2: Convert to fraction form
    70,170.54/105,282 = 42,110.72/x
  3. Step 3: Cross multiply
    70,170.54x = 105,282 × 42,110.72
  4. Step 4: Simplify right side
    70,170.54x = 4,433,501,086.25
  5. Step 5: Solve for x
    x = 4,433,501,086.25/70,170.54
  6. Step 6: Final answer
    x = 63,181.80

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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.