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Finding the Fourth Proportional to 115,384.40, 159,175.87 and 75,083.46

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Solution

The fourth proportional to 115,384.40, 159,175.87 and 75,083.46 is: 103,579.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,384.40 : 159,175.87 = 75,083.46 : x
  2. Step 2: Convert to fraction form
    115,384.40/159,175.87 = 75,083.46/x
  3. Step 3: Cross multiply
    115,384.40x = 159,175.87 × 75,083.46
  4. Step 4: Simplify right side
    115,384.40x = 11,951,475,068.11
  5. Step 5: Solve for x
    x = 11,951,475,068.11/115,384.40
  6. Step 6: Final answer
    x = 103,579.64

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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.