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Finding the Fourth Proportional to 230,071.70, 345,039.45 and 103,638.86

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Solution

The fourth proportional to 230,071.70, 345,039.45 and 103,638.86 is: 155,427.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,071.70 : 345,039.45 = 103,638.86 : x
  2. Step 2: Convert to fraction form
    230,071.70/345,039.45 = 103,638.86/x
  3. Step 3: Cross multiply
    230,071.70x = 345,039.45 × 103,638.86
  4. Step 4: Simplify right side
    230,071.70x = 35,759,495,253.03
  5. Step 5: Solve for x
    x = 35,759,495,253.03/230,071.70
  6. Step 6: Final answer
    x = 155,427.61

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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.