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Finding the Fourth Proportional to 149,792.58, 206,712.69 and 81,809.55

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Solution

The fourth proportional to 149,792.58, 206,712.69 and 81,809.55 is: 112,896.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,792.58 : 206,712.69 = 81,809.55 : x
  2. Step 2: Convert to fraction form
    149,792.58/206,712.69 = 81,809.55/x
  3. Step 3: Cross multiply
    149,792.58x = 206,712.69 × 81,809.55
  4. Step 4: Simplify right side
    149,792.58x = 16,911,072,148.19
  5. Step 5: Solve for x
    x = 16,911,072,148.19/149,792.58
  6. Step 6: Final answer
    x = 112,896.59

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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.