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Finding the Fourth Proportional to 103,534.40, 155,301.60 and 91,724.60

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Solution

The fourth proportional to 103,534.40, 155,301.60 and 91,724.60 is: 137,586.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,534.40 : 155,301.60 = 91,724.60 : x
  2. Step 2: Convert to fraction form
    103,534.40/155,301.60 = 91,724.60/x
  3. Step 3: Cross multiply
    103,534.40x = 155,301.60 × 91,724.60
  4. Step 4: Simplify right side
    103,534.40x = 14,244,977,139.36
  5. Step 5: Solve for x
    x = 14,244,977,139.36/103,534.40
  6. Step 6: Final answer
    x = 137,586.90

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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.