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Finding the Fourth Proportional to 149,645.63, 206,509.14 and 85,978.41

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Solution

The fourth proportional to 149,645.63, 206,509.14 and 85,978.41 is: 118,649.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,645.63 : 206,509.14 = 85,978.41 : x
  2. Step 2: Convert to fraction form
    149,645.63/206,509.14 = 85,978.41/x
  3. Step 3: Cross multiply
    149,645.63x = 206,509.14 × 85,978.41
  4. Step 4: Simplify right side
    149,645.63x = 17,755,327,507.67
  5. Step 5: Solve for x
    x = 17,755,327,507.67/149,645.63
  6. Step 6: Final answer
    x = 118,649.16

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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.