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Finding the Fourth Proportional to 149,015.66, 205,637.51 and 81,947.66

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Solution

The fourth proportional to 149,015.66, 205,637.51 and 81,947.66 is: 113,085.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,015.66 : 205,637.51 = 81,947.66 : x
  2. Step 2: Convert to fraction form
    149,015.66/205,637.51 = 81,947.66/x
  3. Step 3: Cross multiply
    149,015.66x = 205,637.51 × 81,947.66
  4. Step 4: Simplify right side
    149,015.66x = 16,851,512,752.73
  5. Step 5: Solve for x
    x = 16,851,512,752.73/149,015.66
  6. Step 6: Final answer
    x = 113,085.52

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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.