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Finding the Fourth Proportional to 213,892.14, 320,730.21 and 125,172.30

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Solution

The fourth proportional to 213,892.14, 320,730.21 and 125,172.30 is: 187,695.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,892.14 : 320,730.21 = 125,172.30 : x
  2. Step 2: Convert to fraction form
    213,892.14/320,730.21 = 125,172.30/x
  3. Step 3: Cross multiply
    213,892.14x = 320,730.21 × 125,172.30
  4. Step 4: Simplify right side
    213,892.14x = 40,146,538,065.18
  5. Step 5: Solve for x
    x = 40,146,538,065.18/213,892.14
  6. Step 6: Final answer
    x = 187,695.25

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1.5x scale

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.