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Finding the Fourth Proportional to 100,982.02, 139,354.47 and 55,660

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Solution

The fourth proportional to 100,982.02, 139,354.47 and 55,660 is: 76,810.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,982.02 : 139,354.47 = 55,660 : x
  2. Step 2: Convert to fraction form
    100,982.02/139,354.47 = 55,660/x
  3. Step 3: Cross multiply
    100,982.02x = 139,354.47 × 55,660
  4. Step 4: Simplify right side
    100,982.02x = 7,756,469,800.20
  5. Step 5: Solve for x
    x = 7,756,469,800.20/100,982.02
  6. Step 6: Final answer
    x = 76,810.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.