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Finding the Fourth Proportional to 70,933.66, 106,425.88 and 30,390.16

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Solution

The fourth proportional to 70,933.66, 106,425.88 and 30,390.16 is: 45,596.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,933.66 : 106,425.88 = 30,390.16 : x
  2. Step 2: Convert to fraction form
    70,933.66/106,425.88 = 30,390.16/x
  3. Step 3: Cross multiply
    70,933.66x = 106,425.88 × 30,390.16
  4. Step 4: Simplify right side
    70,933.66x = 3,234,299,521.34
  5. Step 5: Solve for x
    x = 3,234,299,521.34/70,933.66
  6. Step 6: Final answer
    x = 45,596.12

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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.