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Finding the Fourth Proportional to 103,856.68, 143,322 and 56,109.88

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Solution

The fourth proportional to 103,856.68, 143,322 and 56,109.88 is: 77,431.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,856.68 : 143,322 = 56,109.88 : x
  2. Step 2: Convert to fraction form
    103,856.68/143,322 = 56,109.88/x
  3. Step 3: Cross multiply
    103,856.68x = 143,322 × 56,109.88
  4. Step 4: Simplify right side
    103,856.68x = 8,041,780,221.36
  5. Step 5: Solve for x
    x = 8,041,780,221.36/103,856.68
  6. Step 6: Final answer
    x = 77,431.52

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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.