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Finding the Fourth Proportional to 70,475.71, 105,729.11 and 20,559.71

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Solution

The fourth proportional to 70,475.71, 105,729.11 and 20,559.71 is: 30,844.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,475.71 : 105,729.11 = 20,559.71 : x
  2. Step 2: Convert to fraction form
    70,475.71/105,729.11 = 20,559.71/x
  3. Step 3: Cross multiply
    70,475.71x = 105,729.11 × 20,559.71
  4. Step 4: Simplify right side
    70,475.71x = 2,173,759,840.16
  5. Step 5: Solve for x
    x = 2,173,759,840.16/70,475.71
  6. Step 6: Final answer
    x = 30,844.10

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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.