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Finding the Fourth Proportional to 214,763.80, 296,276.80 and 138,255.48

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Solution

The fourth proportional to 214,763.80, 296,276.80 and 138,255.48 is: 190,729.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,763.80 : 296,276.80 = 138,255.48 : x
  2. Step 2: Convert to fraction form
    214,763.80/296,276.80 = 138,255.48/x
  3. Step 3: Cross multiply
    214,763.80x = 296,276.80 × 138,255.48
  4. Step 4: Simplify right side
    214,763.80x = 40,961,891,196.86
  5. Step 5: Solve for x
    x = 40,961,891,196.86/214,763.80
  6. Step 6: Final answer
    x = 190,729.96

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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.