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Finding the Fourth Proportional to 101,857.70, 140,561.50 and 56,533.02

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Solution

The fourth proportional to 101,857.70, 140,561.50 and 56,533.02 is: 78,014.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,857.70 : 140,561.50 = 56,533.02 : x
  2. Step 2: Convert to fraction form
    101,857.70/140,561.50 = 56,533.02/x
  3. Step 3: Cross multiply
    101,857.70x = 140,561.50 × 56,533.02
  4. Step 4: Simplify right side
    101,857.70x = 7,946,366,090.73
  5. Step 5: Solve for x
    x = 7,946,366,090.73/101,857.70
  6. Step 6: Final answer
    x = 78,014.39

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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.