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Finding the Fourth Proportional to 164,548.32, 246,834 and 81,420

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Solution

The fourth proportional to 164,548.32, 246,834 and 81,420 is: 122,135.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,548.32 : 246,834 = 81,420 : x
  2. Step 2: Convert to fraction form
    164,548.32/246,834 = 81,420/x
  3. Step 3: Cross multiply
    164,548.32x = 246,834 × 81,420
  4. Step 4: Simplify right side
    164,548.32x = 20,097,224,280
  5. Step 5: Solve for x
    x = 20,097,224,280/164,548.32
  6. Step 6: Final answer
    x = 122,135.70

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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.