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Finding the Fourth Proportional to 189,008.80, 283,513.20 and 76,742.80

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Solution

The fourth proportional to 189,008.80, 283,513.20 and 76,742.80 is: 115,114.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,008.80 : 283,513.20 = 76,742.80 : x
  2. Step 2: Convert to fraction form
    189,008.80/283,513.20 = 76,742.80/x
  3. Step 3: Cross multiply
    189,008.80x = 283,513.20 × 76,742.80
  4. Step 4: Simplify right side
    189,008.80x = 21,757,596,804.96
  5. Step 5: Solve for x
    x = 21,757,596,804.96/189,008.80
  6. Step 6: Final answer
    x = 115,114.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.