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Finding the Fourth Proportional to 230,661.06, 318,320.14 and 133,857.45

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Solution

The fourth proportional to 230,661.06, 318,320.14 and 133,857.45 is: 184,727.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,661.06 : 318,320.14 = 133,857.45 : x
  2. Step 2: Convert to fraction form
    230,661.06/318,320.14 = 133,857.45/x
  3. Step 3: Cross multiply
    230,661.06x = 318,320.14 × 133,857.45
  4. Step 4: Simplify right side
    230,661.06x = 42,609,522,224.04
  5. Step 5: Solve for x
    x = 42,609,522,224.04/230,661.06
  6. Step 6: Final answer
    x = 184,727.85

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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.