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Finding the Fourth Proportional to 231,513.60, 347,270.40 and 83,750.40

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Solution

The fourth proportional to 231,513.60, 347,270.40 and 83,750.40 is: 125,625.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,513.60 : 347,270.40 = 83,750.40 : x
  2. Step 2: Convert to fraction form
    231,513.60/347,270.40 = 83,750.40/x
  3. Step 3: Cross multiply
    231,513.60x = 347,270.40 × 83,750.40
  4. Step 4: Simplify right side
    231,513.60x = 29,084,034,908.16
  5. Step 5: Solve for x
    x = 29,084,034,908.16/231,513.60
  6. Step 6: Final answer
    x = 125,625.60

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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.