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Finding the Fourth Proportional to 199,632.18, 299,109.92 and 120,580.32

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Solution

The fourth proportional to 199,632.18, 299,109.92 and 120,580.32 is: 180,666.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,632.18 : 299,109.92 = 120,580.32 : x
  2. Step 2: Convert to fraction form
    199,632.18/299,109.92 = 120,580.32/x
  3. Step 3: Cross multiply
    199,632.18x = 299,109.92 × 120,580.32
  4. Step 4: Simplify right side
    199,632.18x = 36,066,769,265.87
  5. Step 5: Solve for x
    x = 36,066,769,265.87/199,632.18
  6. Step 6: Final answer
    x = 180,666.11

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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.