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Finding the Fourth Proportional to 261,664.80, 392,497.20 and 74,676.30

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Solution

The fourth proportional to 261,664.80, 392,497.20 and 74,676.30 is: 112,014.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,664.80 : 392,497.20 = 74,676.30 : x
  2. Step 2: Convert to fraction form
    261,664.80/392,497.20 = 74,676.30/x
  3. Step 3: Cross multiply
    261,664.80x = 392,497.20 × 74,676.30
  4. Step 4: Simplify right side
    261,664.80x = 29,310,238,656.36
  5. Step 5: Solve for x
    x = 29,310,238,656.36/261,664.80
  6. Step 6: Final answer
    x = 112,014.45

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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.