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Finding the Fourth Proportional to 70,117.92, 105,150.93 and 20,181.15

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Solution

The fourth proportional to 70,117.92, 105,150.93 and 20,181.15 is: 30,264.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,117.92 : 105,150.93 = 20,181.15 : x
  2. Step 2: Convert to fraction form
    70,117.92/105,150.93 = 20,181.15/x
  3. Step 3: Cross multiply
    70,117.92x = 105,150.93 × 20,181.15
  4. Step 4: Simplify right side
    70,117.92x = 2,122,066,690.97
  5. Step 5: Solve for x
    x = 2,122,066,690.97/70,117.92
  6. Step 6: Final answer
    x = 30,264.26

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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.