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Finding the Fourth Proportional to 154,156, 231,234 and 37,420

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Solution

The fourth proportional to 154,156, 231,234 and 37,420 is: 56,130

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,156 : 231,234 = 37,420 : x
  2. Step 2: Convert to fraction form
    154,156/231,234 = 37,420/x
  3. Step 3: Cross multiply
    154,156x = 231,234 × 37,420
  4. Step 4: Simplify right side
    154,156x = 8,652,776,280
  5. Step 5: Solve for x
    x = 8,652,776,280/154,156
  6. Step 6: Final answer
    x = 56,130

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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.