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Finding the Fourth Proportional to 101,856.80, 140,558.22 and 56,536.68

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Solution

The fourth proportional to 101,856.80, 140,558.22 and 56,536.68 is: 78,018.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,856.80 : 140,558.22 = 56,536.68 : x
  2. Step 2: Convert to fraction form
    101,856.80/140,558.22 = 56,536.68/x
  3. Step 3: Cross multiply
    101,856.80x = 140,558.22 × 56,536.68
  4. Step 4: Simplify right side
    101,856.80x = 7,946,695,105.51
  5. Step 5: Solve for x
    x = 7,946,695,105.51/101,856.80
  6. Step 6: Final answer
    x = 78,018.31

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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.