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Finding the Fourth Proportional to 123,857.90, 170,923.84 and 70,142.90

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Solution

The fourth proportional to 123,857.90, 170,923.84 and 70,142.90 is: 96,797.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,857.90 : 170,923.84 = 70,142.90 : x
  2. Step 2: Convert to fraction form
    123,857.90/170,923.84 = 70,142.90/x
  3. Step 3: Cross multiply
    123,857.90x = 170,923.84 × 70,142.90
  4. Step 4: Simplify right side
    123,857.90x = 11,989,093,816.74
  5. Step 5: Solve for x
    x = 11,989,093,816.74/123,857.90
  6. Step 6: Final answer
    x = 96,797.17

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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.