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Finding the Fourth Proportional to 133,402.60, 199,844.70 and 74,132.20

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Solution

The fourth proportional to 133,402.60, 199,844.70 and 74,132.20 is: 111,054.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,402.60 : 199,844.70 = 74,132.20 : x
  2. Step 2: Convert to fraction form
    133,402.60/199,844.70 = 74,132.20/x
  3. Step 3: Cross multiply
    133,402.60x = 199,844.70 × 74,132.20
  4. Step 4: Simplify right side
    133,402.60x = 14,814,927,269.34
  5. Step 5: Solve for x
    x = 14,814,927,269.34/133,402.60
  6. Step 6: Final answer
    x = 111,054.26

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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.