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Finding the Fourth Proportional to 71,809.84, 99,095.34 and 39,977.14

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Solution

The fourth proportional to 71,809.84, 99,095.34 and 39,977.14 is: 55,167.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,809.84 : 99,095.34 = 39,977.14 : x
  2. Step 2: Convert to fraction form
    71,809.84/99,095.34 = 39,977.14/x
  3. Step 3: Cross multiply
    71,809.84x = 99,095.34 × 39,977.14
  4. Step 4: Simplify right side
    71,809.84x = 3,961,548,280.53
  5. Step 5: Solve for x
    x = 3,961,548,280.53/71,809.84
  6. Step 6: Final answer
    x = 55,167.21

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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.