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Finding the Fourth Proportional to 213,381.73, 320,117.55 and 73,151.29

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Solution

The fourth proportional to 213,381.73, 320,117.55 and 73,151.29 is: 109,742.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,381.73 : 320,117.55 = 73,151.29 : x
  2. Step 2: Convert to fraction form
    213,381.73/320,117.55 = 73,151.29/x
  3. Step 3: Cross multiply
    213,381.73x = 320,117.55 × 73,151.29
  4. Step 4: Simplify right side
    213,381.73x = 23,417,011,734.14
  5. Step 5: Solve for x
    x = 23,417,011,734.14/213,381.73
  6. Step 6: Final answer
    x = 109,742.35

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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.