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Finding the Fourth Proportional to 278,118.58, 417,217.76 and 86,007.94

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Solution

The fourth proportional to 278,118.58, 417,217.76 and 86,007.94 is: 129,024.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,118.58 : 417,217.76 = 86,007.94 : x
  2. Step 2: Convert to fraction form
    278,118.58/417,217.76 = 86,007.94/x
  3. Step 3: Cross multiply
    278,118.58x = 417,217.76 × 86,007.94
  4. Step 4: Simplify right side
    278,118.58x = 35,884,040,069.01
  5. Step 5: Solve for x
    x = 35,884,040,069.01/278,118.58
  6. Step 6: Final answer
    x = 129,024.25

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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.