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Finding the Fourth Proportional to 18,097,985, 24,975,372.90 and 9,949,044.20

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Solution

The fourth proportional to 18,097,985, 24,975,372.90 and 9,949,044.20 is: 13,729,765.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,097,985 : 24,975,372.90 = 9,949,044.20 : x
  2. Step 2: Convert to fraction form
    18,097,985/24,975,372.90 = 9,949,044.20/x
  3. Step 3: Cross multiply
    18,097,985x = 24,975,372.90 × 9,949,044.20
  4. Step 4: Simplify right side
    18,097,985x = 248,481,088,893,582.16
  5. Step 5: Solve for x
    x = 248,481,088,893,582.16/18,097,985
  6. Step 6: Final answer
    x = 13,729,765.43

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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.