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Finding the Fourth Proportional to 228,142.16, 342,261.42 and 85,984.43

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Solution

The fourth proportional to 228,142.16, 342,261.42 and 85,984.43 is: 128,994.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,142.16 : 342,261.42 = 85,984.43 : x
  2. Step 2: Convert to fraction form
    228,142.16/342,261.42 = 85,984.43/x
  3. Step 3: Cross multiply
    228,142.16x = 342,261.42 × 85,984.43
  4. Step 4: Simplify right side
    228,142.16x = 29,429,151,398.38
  5. Step 5: Solve for x
    x = 29,429,151,398.38/228,142.16
  6. Step 6: Final answer
    x = 128,994.80

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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.