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Finding the Fourth Proportional to 100,012.89, 138,016.46 and 56,994.94

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Solution

The fourth proportional to 100,012.89, 138,016.46 and 56,994.94 is: 78,652.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,012.89 : 138,016.46 = 56,994.94 : x
  2. Step 2: Convert to fraction form
    100,012.89/138,016.46 = 56,994.94/x
  3. Step 3: Cross multiply
    100,012.89x = 138,016.46 × 56,994.94
  4. Step 4: Simplify right side
    100,012.89x = 7,866,239,226.70
  5. Step 5: Solve for x
    x = 7,866,239,226.70/100,012.89
  6. Step 6: Final answer
    x = 78,652.25

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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.