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Finding the Fourth Proportional to 103,999.40, 155,999.10 and 83,954.60

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Solution

The fourth proportional to 103,999.40, 155,999.10 and 83,954.60 is: 125,931.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,999.40 : 155,999.10 = 83,954.60 : x
  2. Step 2: Convert to fraction form
    103,999.40/155,999.10 = 83,954.60/x
  3. Step 3: Cross multiply
    103,999.40x = 155,999.10 × 83,954.60
  4. Step 4: Simplify right side
    103,999.40x = 13,096,842,040.86
  5. Step 5: Solve for x
    x = 13,096,842,040.86/103,999.40
  6. Step 6: Final answer
    x = 125,931.90

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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.