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Finding the Fourth Proportional to 230,999.81, 318,784.97 and 135,575.33

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Solution

The fourth proportional to 230,999.81, 318,784.97 and 135,575.33 is: 187,097.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,999.81 : 318,784.97 = 135,575.33 : x
  2. Step 2: Convert to fraction form
    230,999.81/318,784.97 = 135,575.33/x
  3. Step 3: Cross multiply
    230,999.81x = 318,784.97 × 135,575.33
  4. Step 4: Simplify right side
    230,999.81x = 43,219,376,828.91
  5. Step 5: Solve for x
    x = 43,219,376,828.91/230,999.81
  6. Step 6: Final answer
    x = 187,097.02

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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.