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Finding the Fourth Proportional to 101,856.72, 140,559.59 and 56,534.59

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Solution

The fourth proportional to 101,856.72, 140,559.59 and 56,534.59 is: 78,016.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,856.72 : 140,559.59 = 56,534.59 : x
  2. Step 2: Convert to fraction form
    101,856.72/140,559.59 = 56,534.59/x
  3. Step 3: Cross multiply
    101,856.72x = 140,559.59 × 56,534.59
  4. Step 4: Simplify right side
    101,856.72x = 7,946,477,805.75
  5. Step 5: Solve for x
    x = 7,946,477,805.75/101,856.72
  6. Step 6: Final answer
    x = 78,016.24

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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.