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Finding the Fourth Proportional to 101,590.56, 140,065.02 and 69,704.10

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Solution

The fourth proportional to 101,590.56, 140,065.02 and 69,704.10 is: 96,102.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,590.56 : 140,065.02 = 69,704.10 : x
  2. Step 2: Convert to fraction form
    101,590.56/140,065.02 = 69,704.10/x
  3. Step 3: Cross multiply
    101,590.56x = 140,065.02 × 69,704.10
  4. Step 4: Simplify right side
    101,590.56x = 9,763,106,160.58
  5. Step 5: Solve for x
    x = 9,763,106,160.58/101,590.56
  6. Step 6: Final answer
    x = 96,102.49

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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.