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Finding the Fourth Proportional to 133,071.20, 199,631.10 and 54,193.40

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Solution

The fourth proportional to 133,071.20, 199,631.10 and 54,193.40 is: 81,300.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,071.20 : 199,631.10 = 54,193.40 : x
  2. Step 2: Convert to fraction form
    133,071.20/199,631.10 = 54,193.40/x
  3. Step 3: Cross multiply
    133,071.20x = 199,631.10 × 54,193.40
  4. Step 4: Simplify right side
    133,071.20x = 10,818,688,054.74
  5. Step 5: Solve for x
    x = 10,818,688,054.74/133,071.20
  6. Step 6: Final answer
    x = 81,300.00

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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.