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Finding the Fourth Proportional to 103,115.64, 154,730.86 and 55,729.80

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Solution

The fourth proportional to 103,115.64, 154,730.86 and 55,729.80 is: 83,625.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,115.64 : 154,730.86 = 55,729.80 : x
  2. Step 2: Convert to fraction form
    103,115.64/154,730.86 = 55,729.80/x
  3. Step 3: Cross multiply
    103,115.64x = 154,730.86 × 55,729.80
  4. Step 4: Simplify right side
    103,115.64x = 8,623,119,881.63
  5. Step 5: Solve for x
    x = 8,623,119,881.63/103,115.64
  6. Step 6: Final answer
    x = 83,625.72

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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.