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Finding the Fourth Proportional to 191,990.80, 287,597.40 and 132,893.20

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Solution

The fourth proportional to 191,990.80, 287,597.40 and 132,893.20 is: 199,070.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,990.80 : 287,597.40 = 132,893.20 : x
  2. Step 2: Convert to fraction form
    191,990.80/287,597.40 = 132,893.20/x
  3. Step 3: Cross multiply
    191,990.80x = 287,597.40 × 132,893.20
  4. Step 4: Simplify right side
    191,990.80x = 38,219,738,797.68
  5. Step 5: Solve for x
    x = 38,219,738,797.68/191,990.80
  6. Step 6: Final answer
    x = 199,070.68

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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.