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Finding the Fourth Proportional to 149,150.88, 205,781.88 and 84,609.48

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Solution

The fourth proportional to 149,150.88, 205,781.88 and 84,609.48 is: 116,734.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,150.88 : 205,781.88 = 84,609.48 : x
  2. Step 2: Convert to fraction form
    149,150.88/205,781.88 = 84,609.48/x
  3. Step 3: Cross multiply
    149,150.88x = 205,781.88 × 84,609.48
  4. Step 4: Simplify right side
    149,150.88x = 17,411,097,860.22
  5. Step 5: Solve for x
    x = 17,411,097,860.22/149,150.88
  6. Step 6: Final answer
    x = 116,734.80

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1.5x scale

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.