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Finding the Fourth Proportional to 278,563.01, 418,010.54 and 101,083.86

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Solution

The fourth proportional to 278,563.01, 418,010.54 and 101,083.86 is: 151,686.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,563.01 : 418,010.54 = 101,083.86 : x
  2. Step 2: Convert to fraction form
    278,563.01/418,010.54 = 101,083.86/x
  3. Step 3: Cross multiply
    278,563.01x = 418,010.54 × 101,083.86
  4. Step 4: Simplify right side
    278,563.01x = 42,254,118,398.47
  5. Step 5: Solve for x
    x = 42,254,118,398.47/278,563.01
  6. Step 6: Final answer
    x = 151,686.04

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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.