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Finding the Fourth Proportional to 74,431.72, 102,714.78 and 42,599.80

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Solution

The fourth proportional to 74,431.72, 102,714.78 and 42,599.80 is: 58,787.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,431.72 : 102,714.78 = 42,599.80 : x
  2. Step 2: Convert to fraction form
    74,431.72/102,714.78 = 42,599.80/x
  3. Step 3: Cross multiply
    74,431.72x = 102,714.78 × 42,599.80
  4. Step 4: Simplify right side
    74,431.72x = 4,375,629,085.04
  5. Step 5: Solve for x
    x = 4,375,629,085.04/74,431.72
  6. Step 6: Final answer
    x = 58,787.16

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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.