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Finding the Fourth Proportional to 109,205.70, 163,881.45 and 61,820.70

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Solution

The fourth proportional to 109,205.70, 163,881.45 and 61,820.70 is: 92,772.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,205.70 : 163,881.45 = 61,820.70 : x
  2. Step 2: Convert to fraction form
    109,205.70/163,881.45 = 61,820.70/x
  3. Step 3: Cross multiply
    109,205.70x = 163,881.45 × 61,820.70
  4. Step 4: Simplify right side
    109,205.70x = 10,131,265,956.02
  5. Step 5: Solve for x
    x = 10,131,265,956.02/109,205.70
  6. Step 6: Final answer
    x = 92,772.32

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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.