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Finding the Fourth Proportional to 141,978.20, 195,933.60 and 77,448.53

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Solution

The fourth proportional to 141,978.20, 195,933.60 and 77,448.53 is: 106,880.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,978.20 : 195,933.60 = 77,448.53 : x
  2. Step 2: Convert to fraction form
    141,978.20/195,933.60 = 77,448.53/x
  3. Step 3: Cross multiply
    141,978.20x = 195,933.60 × 77,448.53
  4. Step 4: Simplify right side
    141,978.20x = 15,174,768,317.94
  5. Step 5: Solve for x
    x = 15,174,768,317.94/141,978.20
  6. Step 6: Final answer
    x = 106,880.98

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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.