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Finding the Fourth Proportional to 279,677.56, 419,142.64 and 102,017.56

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Solution

The fourth proportional to 279,677.56, 419,142.64 and 102,017.56 is: 152,890.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,677.56 : 419,142.64 = 102,017.56 : x
  2. Step 2: Convert to fraction form
    279,677.56/419,142.64 = 102,017.56/x
  3. Step 3: Cross multiply
    279,677.56x = 419,142.64 × 102,017.56
  4. Step 4: Simplify right side
    279,677.56x = 42,759,909,424.76
  5. Step 5: Solve for x
    x = 42,759,909,424.76/279,677.56
  6. Step 6: Final answer
    x = 152,890.03

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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.