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Finding the Fourth Proportional to 103,392.64, 154,972.69 and 52,649.27

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Solution

The fourth proportional to 103,392.64, 154,972.69 and 52,649.27 is: 78,914.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,392.64 : 154,972.69 = 52,649.27 : x
  2. Step 2: Convert to fraction form
    103,392.64/154,972.69 = 52,649.27/x
  3. Step 3: Cross multiply
    103,392.64x = 154,972.69 × 52,649.27
  4. Step 4: Simplify right side
    103,392.64x = 8,159,199,840.97
  5. Step 5: Solve for x
    x = 8,159,199,840.97/103,392.64
  6. Step 6: Final answer
    x = 78,914.71

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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.