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Finding the Fourth Proportional to 230,956.56, 346,464 and 73,128.60

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Solution

The fourth proportional to 230,956.56, 346,464 and 73,128.60 is: 109,702.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,956.56 : 346,464 = 73,128.60 : x
  2. Step 2: Convert to fraction form
    230,956.56/346,464 = 73,128.60/x
  3. Step 3: Cross multiply
    230,956.56x = 346,464 × 73,128.60
  4. Step 4: Simplify right side
    230,956.56x = 25,336,427,270.40
  5. Step 5: Solve for x
    x = 25,336,427,270.40/230,956.56
  6. Step 6: Final answer
    x = 109,702.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.