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Finding the Fourth Proportional to 209,820.67, 314,824.03 and 109,957.12

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Solution

The fourth proportional to 209,820.67, 314,824.03 and 109,957.12 is: 164,984.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,820.67 : 314,824.03 = 109,957.12 : x
  2. Step 2: Convert to fraction form
    209,820.67/314,824.03 = 109,957.12/x
  3. Step 3: Cross multiply
    209,820.67x = 314,824.03 × 109,957.12
  4. Step 4: Simplify right side
    209,820.67x = 34,617,142,583.64
  5. Step 5: Solve for x
    x = 34,617,142,583.64/209,820.67
  6. Step 6: Final answer
    x = 164,984.43

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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.