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Finding the Fourth Proportional to 109,640.70, 164,461.05 and 47,311.20

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Solution

The fourth proportional to 109,640.70, 164,461.05 and 47,311.20 is: 70,966.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,640.70 : 164,461.05 = 47,311.20 : x
  2. Step 2: Convert to fraction form
    109,640.70/164,461.05 = 47,311.20/x
  3. Step 3: Cross multiply
    109,640.70x = 164,461.05 × 47,311.20
  4. Step 4: Simplify right side
    109,640.70x = 7,780,849,628.76
  5. Step 5: Solve for x
    x = 7,780,849,628.76/109,640.70
  6. Step 6: Final answer
    x = 70,966.80

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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.