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Finding the Fourth Proportional to 266,815.43, 368,205.17 and 145,956.68

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Solution

The fourth proportional to 266,815.43, 368,205.17 and 145,956.68 is: 201,420.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,815.43 : 368,205.17 = 145,956.68 : x
  2. Step 2: Convert to fraction form
    266,815.43/368,205.17 = 145,956.68/x
  3. Step 3: Cross multiply
    266,815.43x = 368,205.17 × 145,956.68
  4. Step 4: Simplify right side
    266,815.43x = 53,742,005,092.55
  5. Step 5: Solve for x
    x = 53,742,005,092.55/266,815.43
  6. Step 6: Final answer
    x = 201,420.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.