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Finding the Fourth Proportional to 123,767.12, 170,798.64 and 67,178.48

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Solution

The fourth proportional to 123,767.12, 170,798.64 and 67,178.48 is: 92,706.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,767.12 : 170,798.64 = 67,178.48 : x
  2. Step 2: Convert to fraction form
    123,767.12/170,798.64 = 67,178.48/x
  3. Step 3: Cross multiply
    123,767.12x = 170,798.64 × 67,178.48
  4. Step 4: Simplify right side
    123,767.12x = 11,473,993,021.27
  5. Step 5: Solve for x
    x = 11,473,993,021.27/123,767.12
  6. Step 6: Final answer
    x = 92,706.31

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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.