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Finding the Fourth Proportional to 279,978.04, 420,051.84 and 100,039.90

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Solution

The fourth proportional to 279,978.04, 420,051.84 and 100,039.90 is: 150,090.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,978.04 : 420,051.84 = 100,039.90 : x
  2. Step 2: Convert to fraction form
    279,978.04/420,051.84 = 100,039.90/x
  3. Step 3: Cross multiply
    279,978.04x = 420,051.84 × 100,039.90
  4. Step 4: Simplify right side
    279,978.04x = 42,021,944,068.42
  5. Step 5: Solve for x
    x = 42,021,944,068.42/279,978.04
  6. Step 6: Final answer
    x = 150,090.14

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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.