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Finding the Fourth Proportional to 102,133.96, 153,087.38 and 77,092.80

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Solution

The fourth proportional to 102,133.96, 153,087.38 and 77,092.80 is: 115,553.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,133.96 : 153,087.38 = 77,092.80 : x
  2. Step 2: Convert to fraction form
    102,133.96/153,087.38 = 77,092.80/x
  3. Step 3: Cross multiply
    102,133.96x = 153,087.38 × 77,092.80
  4. Step 4: Simplify right side
    102,133.96x = 11,801,934,768.86
  5. Step 5: Solve for x
    x = 11,801,934,768.86/102,133.96
  6. Step 6: Final answer
    x = 115,553.48

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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.