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Finding the Fourth Proportional to 136,911.60, 205,367.40 and 99,295.20

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Solution

The fourth proportional to 136,911.60, 205,367.40 and 99,295.20 is: 148,942.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,911.60 : 205,367.40 = 99,295.20 : x
  2. Step 2: Convert to fraction form
    136,911.60/205,367.40 = 99,295.20/x
  3. Step 3: Cross multiply
    136,911.60x = 205,367.40 × 99,295.20
  4. Step 4: Simplify right side
    136,911.60x = 20,391,997,056.48
  5. Step 5: Solve for x
    x = 20,391,997,056.48/136,911.60
  6. Step 6: Final answer
    x = 148,942.80

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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.