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Finding the Fourth Proportional to 71,646.42, 107,469.79 and 19,055.91

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Solution

The fourth proportional to 71,646.42, 107,469.79 and 19,055.91 is: 28,583.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,646.42 : 107,469.79 = 19,055.91 : x
  2. Step 2: Convert to fraction form
    71,646.42/107,469.79 = 19,055.91/x
  3. Step 3: Cross multiply
    71,646.42x = 107,469.79 × 19,055.91
  4. Step 4: Simplify right side
    71,646.42x = 2,047,934,396.81
  5. Step 5: Solve for x
    x = 2,047,934,396.81/71,646.42
  6. Step 6: Final answer
    x = 28,583.90

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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.