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Finding the Fourth Proportional to 101,957.79, 140,704.31 and 56,633.60

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Solution

The fourth proportional to 101,957.79, 140,704.31 and 56,633.60 is: 78,155.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,957.79 : 140,704.31 = 56,633.60 : x
  2. Step 2: Convert to fraction form
    101,957.79/140,704.31 = 56,633.60/x
  3. Step 3: Cross multiply
    101,957.79x = 140,704.31 × 56,633.60
  4. Step 4: Simplify right side
    101,957.79x = 7,968,590,624.13
  5. Step 5: Solve for x
    x = 7,968,590,624.13/101,957.79
  6. Step 6: Final answer
    x = 78,155.78

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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.