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Finding the Fourth Proportional to 141,804.72, 195,690.87 and 77,274.45

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Solution

The fourth proportional to 141,804.72, 195,690.87 and 77,274.45 is: 106,638.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,804.72 : 195,690.87 = 77,274.45 : x
  2. Step 2: Convert to fraction form
    141,804.72/195,690.87 = 77,274.45/x
  3. Step 3: Cross multiply
    141,804.72x = 195,690.87 × 77,274.45
  4. Step 4: Simplify right side
    141,804.72x = 15,121,904,349.27
  5. Step 5: Solve for x
    x = 15,121,904,349.27/141,804.72
  6. Step 6: Final answer
    x = 106,638.94

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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.