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Finding the Fourth Proportional to 103,153.86, 154,468.20 and 67,986.90

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Solution

The fourth proportional to 103,153.86, 154,468.20 and 67,986.90 is: 101,807.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,153.86 : 154,468.20 = 67,986.90 : x
  2. Step 2: Convert to fraction form
    103,153.86/154,468.20 = 67,986.90/x
  3. Step 3: Cross multiply
    103,153.86x = 154,468.20 × 67,986.90
  4. Step 4: Simplify right side
    103,153.86x = 10,501,814,066.58
  5. Step 5: Solve for x
    x = 10,501,814,066.58/103,153.86
  6. Step 6: Final answer
    x = 101,807.28

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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.