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Finding the Fourth Proportional to 278,008.71, 417,077.19 and 118,089.81

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Solution

The fourth proportional to 278,008.71, 417,077.19 and 118,089.81 is: 177,161.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,008.71 : 417,077.19 = 118,089.81 : x
  2. Step 2: Convert to fraction form
    278,008.71/417,077.19 = 118,089.81/x
  3. Step 3: Cross multiply
    278,008.71x = 417,077.19 × 118,089.81
  4. Step 4: Simplify right side
    278,008.71x = 49,252,566,122.43
  5. Step 5: Solve for x
    x = 49,252,566,122.43/278,008.71
  6. Step 6: Final answer
    x = 177,161.95

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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.