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Finding the Fourth Proportional to 213,718.42, 320,688.01 and 93,859.55

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Solution

The fourth proportional to 213,718.42, 320,688.01 and 93,859.55 is: 140,837.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,718.42 : 320,688.01 = 93,859.55 : x
  2. Step 2: Convert to fraction form
    213,718.42/320,688.01 = 93,859.55/x
  3. Step 3: Cross multiply
    213,718.42x = 320,688.01 × 93,859.55
  4. Step 4: Simplify right side
    213,718.42x = 30,099,631,574.49
  5. Step 5: Solve for x
    x = 30,099,631,574.49/213,718.42
  6. Step 6: Final answer
    x = 140,837.79

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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.