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Finding the Fourth Proportional to 213,557.40, 320,384.70 and 124,765.20

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Solution

The fourth proportional to 213,557.40, 320,384.70 and 124,765.20 is: 187,176.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,557.40 : 320,384.70 = 124,765.20 : x
  2. Step 2: Convert to fraction form
    213,557.40/320,384.70 = 124,765.20/x
  3. Step 3: Cross multiply
    213,557.40x = 320,384.70 × 124,765.20
  4. Step 4: Simplify right side
    213,557.40x = 39,972,861,172.44
  5. Step 5: Solve for x
    x = 39,972,861,172.44/213,557.40
  6. Step 6: Final answer
    x = 187,176.19

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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.