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Finding the Fourth Proportional to 192,094.90, 288,139.65 and 86,913.70

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Solution

The fourth proportional to 192,094.90, 288,139.65 and 86,913.70 is: 130,369.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,094.90 : 288,139.65 = 86,913.70 : x
  2. Step 2: Convert to fraction form
    192,094.90/288,139.65 = 86,913.70/x
  3. Step 3: Cross multiply
    192,094.90x = 288,139.65 × 86,913.70
  4. Step 4: Simplify right side
    192,094.90x = 25,043,283,098.21
  5. Step 5: Solve for x
    x = 25,043,283,098.21/192,094.90
  6. Step 6: Final answer
    x = 130,369.33

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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.