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Finding the Fourth Proportional to 106,663.78, 159,648.48 and 78,572.78

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Solution

The fourth proportional to 106,663.78, 159,648.48 and 78,572.78 is: 117,603.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,663.78 : 159,648.48 = 78,572.78 : x
  2. Step 2: Convert to fraction form
    106,663.78/159,648.48 = 78,572.78/x
  3. Step 3: Cross multiply
    106,663.78x = 159,648.48 × 78,572.78
  4. Step 4: Simplify right side
    106,663.78x = 12,544,024,098.13
  5. Step 5: Solve for x
    x = 12,544,024,098.13/106,663.78
  6. Step 6: Final answer
    x = 117,603.41

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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.