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Finding the Fourth Proportional to 230,420, 345,766.08 and 97,291.64

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Solution

The fourth proportional to 230,420, 345,766.08 and 97,291.64 is: 145,994.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,420 : 345,766.08 = 97,291.64 : x
  2. Step 2: Convert to fraction form
    230,420/345,766.08 = 97,291.64/x
  3. Step 3: Cross multiply
    230,420x = 345,766.08 × 97,291.64
  4. Step 4: Simplify right side
    230,420x = 33,640,148,979.57
  5. Step 5: Solve for x
    x = 33,640,148,979.57/230,420
  6. Step 6: Final answer
    x = 145,994.92

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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.