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Finding the Fourth Proportional to 106,990.10, 147,800.12 and 85,451.56

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Solution

The fourth proportional to 106,990.10, 147,800.12 and 85,451.56 is: 118,045.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,990.10 : 147,800.12 = 85,451.56 : x
  2. Step 2: Convert to fraction form
    106,990.10/147,800.12 = 85,451.56/x
  3. Step 3: Cross multiply
    106,990.10x = 147,800.12 × 85,451.56
  4. Step 4: Simplify right side
    106,990.10x = 12,629,751,337.47
  5. Step 5: Solve for x
    x = 12,629,751,337.47/106,990.10
  6. Step 6: Final answer
    x = 118,045.99

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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.