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Finding the Fourth Proportional to 101,858.94, 140,558.67 and 56,534.73

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Solution

The fourth proportional to 101,858.94, 140,558.67 and 56,534.73 is: 78,014.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,858.94 : 140,558.67 = 56,534.73 : x
  2. Step 2: Convert to fraction form
    101,858.94/140,558.67 = 56,534.73/x
  3. Step 3: Cross multiply
    101,858.94x = 140,558.67 × 56,534.73
  4. Step 4: Simplify right side
    101,858.94x = 7,946,446,457.61
  5. Step 5: Solve for x
    x = 7,946,446,457.61/101,858.94
  6. Step 6: Final answer
    x = 78,014.23

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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.