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Finding the Fourth Proportional to 123,709.68, 170,808.12 and 76,026.96

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Solution

The fourth proportional to 123,709.68, 170,808.12 and 76,026.96 is: 104,971.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,709.68 : 170,808.12 = 76,026.96 : x
  2. Step 2: Convert to fraction form
    123,709.68/170,808.12 = 76,026.96/x
  3. Step 3: Cross multiply
    123,709.68x = 170,808.12 × 76,026.96
  4. Step 4: Simplify right side
    123,709.68x = 12,986,022,106.92
  5. Step 5: Solve for x
    x = 12,986,022,106.92/123,709.68
  6. Step 6: Final answer
    x = 104,971.75

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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.