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Finding the Fourth Proportional to 133,398.30, 199,854.45 and 105,501.90

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Solution

The fourth proportional to 133,398.30, 199,854.45 and 105,501.90 is: 158,060.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,398.30 : 199,854.45 = 105,501.90 : x
  2. Step 2: Convert to fraction form
    133,398.30/199,854.45 = 105,501.90/x
  3. Step 3: Cross multiply
    133,398.30x = 199,854.45 × 105,501.90
  4. Step 4: Simplify right side
    133,398.30x = 21,085,024,198.46
  5. Step 5: Solve for x
    x = 21,085,024,198.46/133,398.30
  6. Step 6: Final answer
    x = 158,060.67

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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.