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Finding the Fourth Proportional to 125,557.32, 188,335.56 and 78,843

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Solution

The fourth proportional to 125,557.32, 188,335.56 and 78,843 is: 118,264.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,557.32 : 188,335.56 = 78,843 : x
  2. Step 2: Convert to fraction form
    125,557.32/188,335.56 = 78,843/x
  3. Step 3: Cross multiply
    125,557.32x = 188,335.56 × 78,843
  4. Step 4: Simplify right side
    125,557.32x = 14,848,940,557.08
  5. Step 5: Solve for x
    x = 14,848,940,557.08/125,557.32
  6. Step 6: Final answer
    x = 118,264.24

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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.