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Finding the Fourth Proportional to 71,810.46, 99,102.36 and 39,978.66

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Solution

The fourth proportional to 71,810.46, 99,102.36 and 39,978.66 is: 55,172.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,810.46 : 99,102.36 = 39,978.66 : x
  2. Step 2: Convert to fraction form
    71,810.46/99,102.36 = 39,978.66/x
  3. Step 3: Cross multiply
    71,810.46x = 99,102.36 × 39,978.66
  4. Step 4: Simplify right side
    71,810.46x = 3,961,979,555.64
  5. Step 5: Solve for x
    x = 3,961,979,555.64/71,810.46
  6. Step 6: Final answer
    x = 55,172.74

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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.