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Finding the Fourth Proportional to 172,129.50, 237,538.80 and 96,678

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Solution

The fourth proportional to 172,129.50, 237,538.80 and 96,678 is: 133,415.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,129.50 : 237,538.80 = 96,678 : x
  2. Step 2: Convert to fraction form
    172,129.50/237,538.80 = 96,678/x
  3. Step 3: Cross multiply
    172,129.50x = 237,538.80 × 96,678
  4. Step 4: Simplify right side
    172,129.50x = 22,964,776,106.40
  5. Step 5: Solve for x
    x = 22,964,776,106.40/172,129.50
  6. Step 6: Final answer
    x = 133,415.69

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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.