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Finding the Fourth Proportional to 103,620.86, 155,206.65 and 64,187.90

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Solution

The fourth proportional to 103,620.86, 155,206.65 and 64,187.90 is: 96,142.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,620.86 : 155,206.65 = 64,187.90 : x
  2. Step 2: Convert to fraction form
    103,620.86/155,206.65 = 64,187.90/x
  3. Step 3: Cross multiply
    103,620.86x = 155,206.65 × 64,187.90
  4. Step 4: Simplify right side
    103,620.86x = 9,962,388,929.54
  5. Step 5: Solve for x
    x = 9,962,388,929.54/103,620.86
  6. Step 6: Final answer
    x = 96,142.70

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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.