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Finding the Fourth Proportional to 71,458.72, 107,184.81 and 29,328.40

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Solution

The fourth proportional to 71,458.72, 107,184.81 and 29,328.40 is: 43,991.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,458.72 : 107,184.81 = 29,328.40 : x
  2. Step 2: Convert to fraction form
    71,458.72/107,184.81 = 29,328.40/x
  3. Step 3: Cross multiply
    71,458.72x = 107,184.81 × 29,328.40
  4. Step 4: Simplify right side
    71,458.72x = 3,143,558,981.60
  5. Step 5: Solve for x
    x = 3,143,558,981.60/71,458.72
  6. Step 6: Final answer
    x = 43,991.26

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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.