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Finding the Fourth Proportional to 138,779.20, 208,169.32 and 33,598

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Solution

The fourth proportional to 138,779.20, 208,169.32 and 33,598 is: 50,397.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,779.20 : 208,169.32 = 33,598 : x
  2. Step 2: Convert to fraction form
    138,779.20/208,169.32 = 33,598/x
  3. Step 3: Cross multiply
    138,779.20x = 208,169.32 × 33,598
  4. Step 4: Simplify right side
    138,779.20x = 6,994,072,813.36
  5. Step 5: Solve for x
    x = 6,994,072,813.36/138,779.20
  6. Step 6: Final answer
    x = 50,397.13

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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.