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Finding the Fourth Proportional to 279,043.36, 418,565.08 and 82,051.36

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Solution

The fourth proportional to 279,043.36, 418,565.08 and 82,051.36 is: 123,077.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,043.36 : 418,565.08 = 82,051.36 : x
  2. Step 2: Convert to fraction form
    279,043.36/418,565.08 = 82,051.36/x
  3. Step 3: Cross multiply
    279,043.36x = 418,565.08 × 82,051.36
  4. Step 4: Simplify right side
    279,043.36x = 34,343,834,062.51
  5. Step 5: Solve for x
    x = 34,343,834,062.51/279,043.36
  6. Step 6: Final answer
    x = 123,077.05

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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.