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Finding the Fourth Proportional to 103,844.56, 143,305.56 and 56,097.88

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Solution

The fourth proportional to 103,844.56, 143,305.56 and 56,097.88 is: 77,415.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,844.56 : 143,305.56 = 56,097.88 : x
  2. Step 2: Convert to fraction form
    103,844.56/143,305.56 = 56,097.88/x
  3. Step 3: Cross multiply
    103,844.56x = 143,305.56 × 56,097.88
  4. Step 4: Simplify right side
    103,844.56x = 8,039,138,108.21
  5. Step 5: Solve for x
    x = 8,039,138,108.21/103,844.56
  6. Step 6: Final answer
    x = 77,415.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.