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Finding the Fourth Proportional to 286,781.70, 430,172.55 and 99,793.20

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Solution

The fourth proportional to 286,781.70, 430,172.55 and 99,793.20 is: 149,689.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,781.70 : 430,172.55 = 99,793.20 : x
  2. Step 2: Convert to fraction form
    286,781.70/430,172.55 = 99,793.20/x
  3. Step 3: Cross multiply
    286,781.70x = 430,172.55 × 99,793.20
  4. Step 4: Simplify right side
    286,781.70x = 42,928,295,316.66
  5. Step 5: Solve for x
    x = 42,928,295,316.66/286,781.70
  6. Step 6: Final answer
    x = 149,689.80

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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.