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Finding the Fourth Proportional to 70,615.83, 105,926.95 and 20,018.48

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Solution

The fourth proportional to 70,615.83, 105,926.95 and 20,018.48 is: 30,028.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,615.83 : 105,926.95 = 20,018.48 : x
  2. Step 2: Convert to fraction form
    70,615.83/105,926.95 = 20,018.48/x
  3. Step 3: Cross multiply
    70,615.83x = 105,926.95 × 20,018.48
  4. Step 4: Simplify right side
    70,615.83x = 2,120,496,025.42
  5. Step 5: Solve for x
    x = 2,120,496,025.42/70,615.83
  6. Step 6: Final answer
    x = 30,028.62

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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.