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Finding the Fourth Proportional to 100,742.83, 139,022.12 and 55,420.80

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Solution

The fourth proportional to 100,742.83, 139,022.12 and 55,420.80 is: 76,479.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,742.83 : 139,022.12 = 55,420.80 : x
  2. Step 2: Convert to fraction form
    100,742.83/139,022.12 = 55,420.80/x
  3. Step 3: Cross multiply
    100,742.83x = 139,022.12 × 55,420.80
  4. Step 4: Simplify right side
    100,742.83x = 7,704,717,108.10
  5. Step 5: Solve for x
    x = 7,704,717,108.10/100,742.83
  6. Step 6: Final answer
    x = 76,479.06

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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.