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Finding the Fourth Proportional to 100,219.74, 138,303.95 and 54,901.86

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Solution

The fourth proportional to 100,219.74, 138,303.95 and 54,901.86 is: 75,764.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,219.74 : 138,303.95 = 54,901.86 : x
  2. Step 2: Convert to fraction form
    100,219.74/138,303.95 = 54,901.86/x
  3. Step 3: Cross multiply
    100,219.74x = 138,303.95 × 54,901.86
  4. Step 4: Simplify right side
    100,219.74x = 7,593,144,100.35
  5. Step 5: Solve for x
    x = 7,593,144,100.35/100,219.74
  6. Step 6: Final answer
    x = 75,764.96

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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.