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Finding the Fourth Proportional to 71,655.72, 106,581.45 and 71,415.96

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Solution

The fourth proportional to 71,655.72, 106,581.45 and 71,415.96 is: 106,224.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,655.72 : 106,581.45 = 71,415.96 : x
  2. Step 2: Convert to fraction form
    71,655.72/106,581.45 = 71,415.96/x
  3. Step 3: Cross multiply
    71,655.72x = 106,581.45 × 71,415.96
  4. Step 4: Simplify right side
    71,655.72x = 7,611,616,569.94
  5. Step 5: Solve for x
    x = 7,611,616,569.94/71,655.72
  6. Step 6: Final answer
    x = 106,224.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.