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Finding the Fourth Proportional to 230,560.16, 345,893.70 and 90,320

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Solution

The fourth proportional to 230,560.16, 345,893.70 and 90,320 is: 135,500.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,560.16 : 345,893.70 = 90,320 : x
  2. Step 2: Convert to fraction form
    230,560.16/345,893.70 = 90,320/x
  3. Step 3: Cross multiply
    230,560.16x = 345,893.70 × 90,320
  4. Step 4: Simplify right side
    230,560.16x = 31,241,118,984
  5. Step 5: Solve for x
    x = 31,241,118,984/230,560.16
  6. Step 6: Final answer
    x = 135,500.94

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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.