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Finding the Fourth Proportional to 70,389.46, 105,585 and 23,642.34

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Solution

The fourth proportional to 70,389.46, 105,585 and 23,642.34 is: 35,463.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,389.46 : 105,585 = 23,642.34 : x
  2. Step 2: Convert to fraction form
    70,389.46/105,585 = 23,642.34/x
  3. Step 3: Cross multiply
    70,389.46x = 105,585 × 23,642.34
  4. Step 4: Simplify right side
    70,389.46x = 2,496,276,468.90
  5. Step 5: Solve for x
    x = 2,496,276,468.90/70,389.46
  6. Step 6: Final answer
    x = 35,463.78

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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.