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Finding the Fourth Proportional to 136,707.70, 205,090.35 and 57,781.30

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Solution

The fourth proportional to 136,707.70, 205,090.35 and 57,781.30 is: 86,684.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,707.70 : 205,090.35 = 57,781.30 : x
  2. Step 2: Convert to fraction form
    136,707.70/205,090.35 = 57,781.30/x
  3. Step 3: Cross multiply
    136,707.70x = 205,090.35 × 57,781.30
  4. Step 4: Simplify right side
    136,707.70x = 11,850,387,040.46
  5. Step 5: Solve for x
    x = 11,850,387,040.46/136,707.70
  6. Step 6: Final answer
    x = 86,684.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.