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Finding the Fourth Proportional to 140,239.68, 193,499.04 and 83,640

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Solution

The fourth proportional to 140,239.68, 193,499.04 and 83,640 is: 115,404.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,239.68 : 193,499.04 = 83,640 : x
  2. Step 2: Convert to fraction form
    140,239.68/193,499.04 = 83,640/x
  3. Step 3: Cross multiply
    140,239.68x = 193,499.04 × 83,640
  4. Step 4: Simplify right side
    140,239.68x = 16,184,259,705.60
  5. Step 5: Solve for x
    x = 16,184,259,705.60/140,239.68
  6. Step 6: Final answer
    x = 115,404.28

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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.