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Finding the Fourth Proportional to 70,168.55, 105,327.76 and 30,207.32

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Solution

The fourth proportional to 70,168.55, 105,327.76 and 30,207.32 is: 45,343.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,168.55 : 105,327.76 = 30,207.32 : x
  2. Step 2: Convert to fraction form
    70,168.55/105,327.76 = 30,207.32/x
  3. Step 3: Cross multiply
    70,168.55x = 105,327.76 × 30,207.32
  4. Step 4: Simplify right side
    70,168.55x = 3,181,668,749.05
  5. Step 5: Solve for x
    x = 3,181,668,749.05/70,168.55
  6. Step 6: Final answer
    x = 45,343.23

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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.