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Finding the Fourth Proportional to 278,181.59, 417,088.02 and 100,665.50

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Solution

The fourth proportional to 278,181.59, 417,088.02 and 100,665.50 is: 150,931.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,181.59 : 417,088.02 = 100,665.50 : x
  2. Step 2: Convert to fraction form
    278,181.59/417,088.02 = 100,665.50/x
  3. Step 3: Cross multiply
    278,181.59x = 417,088.02 × 100,665.50
  4. Step 4: Simplify right side
    278,181.59x = 41,986,374,077.31
  5. Step 5: Solve for x
    x = 41,986,374,077.31/278,181.59
  6. Step 6: Final answer
    x = 150,931.53

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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.