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Finding the Fourth Proportional to 230,578.16, 345,881.82 and 72,812.84

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Solution

The fourth proportional to 230,578.16, 345,881.82 and 72,812.84 is: 109,223.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,578.16 : 345,881.82 = 72,812.84 : x
  2. Step 2: Convert to fraction form
    230,578.16/345,881.82 = 72,812.84/x
  3. Step 3: Cross multiply
    230,578.16x = 345,881.82 × 72,812.84
  4. Step 4: Simplify right side
    230,578.16x = 25,184,637,618.57
  5. Step 5: Solve for x
    x = 25,184,637,618.57/230,578.16
  6. Step 6: Final answer
    x = 109,223.86

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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.