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Finding the Fourth Proportional to 149,790.86, 206,712.79 and 85,256.94

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Solution

The fourth proportional to 149,790.86, 206,712.79 and 85,256.94 is: 117,655.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,790.86 : 206,712.79 = 85,256.94 : x
  2. Step 2: Convert to fraction form
    149,790.86/206,712.79 = 85,256.94/x
  3. Step 3: Cross multiply
    149,790.86x = 206,712.79 × 85,256.94
  4. Step 4: Simplify right side
    149,790.86x = 17,623,699,721.12
  5. Step 5: Solve for x
    x = 17,623,699,721.12/149,790.86
  6. Step 6: Final answer
    x = 117,655.38

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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.