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Finding the Fourth Proportional to 146,066, 201,571.08 and 78,998

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Solution

The fourth proportional to 146,066, 201,571.08 and 78,998 is: 109,017.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,066 : 201,571.08 = 78,998 : x
  2. Step 2: Convert to fraction form
    146,066/201,571.08 = 78,998/x
  3. Step 3: Cross multiply
    146,066x = 201,571.08 × 78,998
  4. Step 4: Simplify right side
    146,066x = 15,923,712,177.84
  5. Step 5: Solve for x
    x = 15,923,712,177.84/146,066
  6. Step 6: Final answer
    x = 109,017.24

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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.