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Finding the Fourth Proportional to 71,900.57, 99,193.56 and 47,712.94

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Solution

The fourth proportional to 71,900.57, 99,193.56 and 47,712.94 is: 65,824.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,900.57 : 99,193.56 = 47,712.94 : x
  2. Step 2: Convert to fraction form
    71,900.57/99,193.56 = 47,712.94/x
  3. Step 3: Cross multiply
    71,900.57x = 99,193.56 × 47,712.94
  4. Step 4: Simplify right side
    71,900.57x = 4,732,816,376.67
  5. Step 5: Solve for x
    x = 4,732,816,376.67/71,900.57
  6. Step 6: Final answer
    x = 65,824.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.