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Finding the Fourth Proportional to 214,122.80, 320,838.60 and 135,095.60

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Solution

The fourth proportional to 214,122.80, 320,838.60 and 135,095.60 is: 202,425.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,122.80 : 320,838.60 = 135,095.60 : x
  2. Step 2: Convert to fraction form
    214,122.80/320,838.60 = 135,095.60/x
  3. Step 3: Cross multiply
    214,122.80x = 320,838.60 × 135,095.60
  4. Step 4: Simplify right side
    214,122.80x = 43,343,883,170.16
  5. Step 5: Solve for x
    x = 43,343,883,170.16/214,122.80
  6. Step 6: Final answer
    x = 202,425.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.