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Finding the Fourth Proportional to 228,143.16, 342,262.92 and 85,985.43

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Solution

The fourth proportional to 228,143.16, 342,262.92 and 85,985.43 is: 128,996.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,143.16 : 342,262.92 = 85,985.43 : x
  2. Step 2: Convert to fraction form
    228,143.16/342,262.92 = 85,985.43/x
  3. Step 3: Cross multiply
    228,143.16x = 342,262.92 × 85,985.43
  4. Step 4: Simplify right side
    228,143.16x = 29,429,624,349.26
  5. Step 5: Solve for x
    x = 29,429,624,349.26/228,143.16
  6. Step 6: Final answer
    x = 128,996.30

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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.