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Finding the Fourth Proportional to 278,437.96, 417,665.13 and 68,075.88

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Solution

The fourth proportional to 278,437.96, 417,665.13 and 68,075.88 is: 102,115.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,437.96 : 417,665.13 = 68,075.88 : x
  2. Step 2: Convert to fraction form
    278,437.96/417,665.13 = 68,075.88/x
  3. Step 3: Cross multiply
    278,437.96x = 417,665.13 × 68,075.88
  4. Step 4: Simplify right side
    278,437.96x = 28,432,921,270.06
  5. Step 5: Solve for x
    x = 28,432,921,270.06/278,437.96
  6. Step 6: Final answer
    x = 102,115.82

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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.