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Finding the Fourth Proportional to 213,374.76, 320,263 and 108,269.16

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Solution

The fourth proportional to 213,374.76, 320,263 and 108,269.16 is: 162,505.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,374.76 : 320,263 = 108,269.16 : x
  2. Step 2: Convert to fraction form
    213,374.76/320,263 = 108,269.16/x
  3. Step 3: Cross multiply
    213,374.76x = 320,263 × 108,269.16
  4. Step 4: Simplify right side
    213,374.76x = 34,674,605,989.08
  5. Step 5: Solve for x
    x = 34,674,605,989.08/213,374.76
  6. Step 6: Final answer
    x = 162,505.66

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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.