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Finding the Fourth Proportional to 279,701.15, 419,593.06 and 102,166.64

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Solution

The fourth proportional to 279,701.15, 419,593.06 and 102,166.64 is: 153,265.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,701.15 : 419,593.06 = 102,166.64 : x
  2. Step 2: Convert to fraction form
    279,701.15/419,593.06 = 102,166.64/x
  3. Step 3: Cross multiply
    279,701.15x = 419,593.06 × 102,166.64
  4. Step 4: Simplify right side
    279,701.15x = 42,868,411,264.97
  5. Step 5: Solve for x
    x = 42,868,411,264.97/279,701.15
  6. Step 6: Final answer
    x = 153,265.05

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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.