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Finding the Fourth Proportional to 109,156.79, 163,728.50 and 64,203

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Solution

The fourth proportional to 109,156.79, 163,728.50 and 64,203 is: 96,300.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,156.79 : 163,728.50 = 64,203 : x
  2. Step 2: Convert to fraction form
    109,156.79/163,728.50 = 64,203/x
  3. Step 3: Cross multiply
    109,156.79x = 163,728.50 × 64,203
  4. Step 4: Simplify right side
    109,156.79x = 10,511,860,564.49
  5. Step 5: Solve for x
    x = 10,511,860,564.49/109,156.79
  6. Step 6: Final answer
    x = 96,300.57

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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.