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Finding the Fourth Proportional to 122,032.64, 168,376 and 74,285.44

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Solution

The fourth proportional to 122,032.64, 168,376 and 74,285.44 is: 102,496.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,032.64 : 168,376 = 74,285.44 : x
  2. Step 2: Convert to fraction form
    122,032.64/168,376 = 74,285.44/x
  3. Step 3: Cross multiply
    122,032.64x = 168,376 × 74,285.44
  4. Step 4: Simplify right side
    122,032.64x = 12,507,885,245.44
  5. Step 5: Solve for x
    x = 12,507,885,245.44/122,032.64
  6. Step 6: Final answer
    x = 102,496.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.