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Finding the Fourth Proportional to 149,900.47, 206,865.36 and 81,920.32

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Solution

The fourth proportional to 149,900.47, 206,865.36 and 81,920.32 is: 113,051.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,900.47 : 206,865.36 = 81,920.32 : x
  2. Step 2: Convert to fraction form
    149,900.47/206,865.36 = 81,920.32/x
  3. Step 3: Cross multiply
    149,900.47x = 206,865.36 × 81,920.32
  4. Step 4: Simplify right side
    149,900.47x = 16,946,476,488.12
  5. Step 5: Solve for x
    x = 16,946,476,488.12/149,900.47
  6. Step 6: Final answer
    x = 113,051.52

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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.