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Finding the Fourth Proportional to 106,878.30, 160,317.45 and 102,327.90

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Solution

The fourth proportional to 106,878.30, 160,317.45 and 102,327.90 is: 153,491.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,878.30 : 160,317.45 = 102,327.90 : x
  2. Step 2: Convert to fraction form
    106,878.30/160,317.45 = 102,327.90/x
  3. Step 3: Cross multiply
    106,878.30x = 160,317.45 × 102,327.90
  4. Step 4: Simplify right side
    106,878.30x = 16,404,947,991.86
  5. Step 5: Solve for x
    x = 16,404,947,991.86/106,878.30
  6. Step 6: Final answer
    x = 153,491.85

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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.