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Finding the Fourth Proportional to 115,188.72, 172,737.84 and 35,202

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Solution

The fourth proportional to 115,188.72, 172,737.84 and 35,202 is: 52,789.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,188.72 : 172,737.84 = 35,202 : x
  2. Step 2: Convert to fraction form
    115,188.72/172,737.84 = 35,202/x
  3. Step 3: Cross multiply
    115,188.72x = 172,737.84 × 35,202
  4. Step 4: Simplify right side
    115,188.72x = 6,080,717,443.68
  5. Step 5: Solve for x
    x = 6,080,717,443.68/115,188.72
  6. Step 6: Final answer
    x = 52,789.17

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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.