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Finding the Fourth Proportional to 201,218.85, 301,545.33 and 158,913.15

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Solution

The fourth proportional to 201,218.85, 301,545.33 and 158,913.15 is: 238,146.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,218.85 : 301,545.33 = 158,913.15 : x
  2. Step 2: Convert to fraction form
    201,218.85/301,545.33 = 158,913.15/x
  3. Step 3: Cross multiply
    201,218.85x = 301,545.33 × 158,913.15
  4. Step 4: Simplify right side
    201,218.85x = 47,919,518,258.09
  5. Step 5: Solve for x
    x = 47,919,518,258.09/201,218.85
  6. Step 6: Final answer
    x = 238,146.27

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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.