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Finding the Fourth Proportional to 149,752.96, 206,657.48 and 81,769.74

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Solution

The fourth proportional to 149,752.96, 206,657.48 and 81,769.74 is: 112,841.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,752.96 : 206,657.48 = 81,769.74 : x
  2. Step 2: Convert to fraction form
    149,752.96/206,657.48 = 81,769.74/x
  3. Step 3: Cross multiply
    149,752.96x = 206,657.48 × 81,769.74
  4. Step 4: Simplify right side
    149,752.96x = 16,898,328,408.66
  5. Step 5: Solve for x
    x = 16,898,328,408.66/149,752.96
  6. Step 6: Final answer
    x = 112,841.36

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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.