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Finding the Fourth Proportional to 137,790.86, 190,149.72 and 77,360

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Solution

The fourth proportional to 137,790.86, 190,149.72 and 77,360 is: 106,755.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,790.86 : 190,149.72 = 77,360 : x
  2. Step 2: Convert to fraction form
    137,790.86/190,149.72 = 77,360/x
  3. Step 3: Cross multiply
    137,790.86x = 190,149.72 × 77,360
  4. Step 4: Simplify right side
    137,790.86x = 14,709,982,339.20
  5. Step 5: Solve for x
    x = 14,709,982,339.20/137,790.86
  6. Step 6: Final answer
    x = 106,755.86

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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.