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Finding the Fourth Proportional to 101,280.40, 151,920.60 and 71,731.60

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Solution

The fourth proportional to 101,280.40, 151,920.60 and 71,731.60 is: 107,597.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,280.40 : 151,920.60 = 71,731.60 : x
  2. Step 2: Convert to fraction form
    101,280.40/151,920.60 = 71,731.60/x
  3. Step 3: Cross multiply
    101,280.40x = 151,920.60 × 71,731.60
  4. Step 4: Simplify right side
    101,280.40x = 10,897,507,710.96
  5. Step 5: Solve for x
    x = 10,897,507,710.96/101,280.40
  6. Step 6: Final answer
    x = 107,597.40

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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.