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Finding the Fourth Proportional to 199,957.30, 300,011.72 and 120,051.08

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Solution

The fourth proportional to 199,957.30, 300,011.72 and 120,051.08 is: 180,122.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,957.30 : 300,011.72 = 120,051.08 : x
  2. Step 2: Convert to fraction form
    199,957.30/300,011.72 = 120,051.08/x
  3. Step 3: Cross multiply
    199,957.30x = 300,011.72 × 120,051.08
  4. Step 4: Simplify right side
    199,957.30x = 36,016,730,998.66
  5. Step 5: Solve for x
    x = 36,016,730,998.66/199,957.30
  6. Step 6: Final answer
    x = 180,122.11

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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.