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Finding the Fourth Proportional to 101,778.58, 140,447.46 and 56,454.76

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Solution

The fourth proportional to 101,778.58, 140,447.46 and 56,454.76 is: 77,903.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,778.58 : 140,447.46 = 56,454.76 : x
  2. Step 2: Convert to fraction form
    101,778.58/140,447.46 = 56,454.76/x
  3. Step 3: Cross multiply
    101,778.58x = 140,447.46 × 56,454.76
  4. Step 4: Simplify right side
    101,778.58x = 7,928,927,646.91
  5. Step 5: Solve for x
    x = 7,928,927,646.91/101,778.58
  6. Step 6: Final answer
    x = 77,903.70

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1.5x scale

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.