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Finding the Fourth Proportional to 199,854.20, 299,125.20 and 155,239.40

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Solution

The fourth proportional to 199,854.20, 299,125.20 and 155,239.40 is: 232,349.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,854.20 : 299,125.20 = 155,239.40 : x
  2. Step 2: Convert to fraction form
    199,854.20/299,125.20 = 155,239.40/x
  3. Step 3: Cross multiply
    199,854.20x = 299,125.20 × 155,239.40
  4. Step 4: Simplify right side
    199,854.20x = 46,436,016,572.88
  5. Step 5: Solve for x
    x = 46,436,016,572.88/199,854.20
  6. Step 6: Final answer
    x = 232,349.47

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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.