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Finding the Fourth Proportional to 103,438.10, 155,157.15 and 68,008.70

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Solution

The fourth proportional to 103,438.10, 155,157.15 and 68,008.70 is: 102,013.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,438.10 : 155,157.15 = 68,008.70 : x
  2. Step 2: Convert to fraction form
    103,438.10/155,157.15 = 68,008.70/x
  3. Step 3: Cross multiply
    103,438.10x = 155,157.15 × 68,008.70
  4. Step 4: Simplify right side
    103,438.10x = 10,552,036,067.21
  5. Step 5: Solve for x
    x = 10,552,036,067.21/103,438.10
  6. Step 6: Final answer
    x = 102,013.05

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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.