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Finding the Fourth Proportional to 85,536, 128,304.46 and 23,206.50

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Solution

The fourth proportional to 85,536, 128,304.46 and 23,206.50 is: 34,809.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,536 : 128,304.46 = 23,206.50 : x
  2. Step 2: Convert to fraction form
    85,536/128,304.46 = 23,206.50/x
  3. Step 3: Cross multiply
    85,536x = 128,304.46 × 23,206.50
  4. Step 4: Simplify right side
    85,536x = 2,977,497,349.46
  5. Step 5: Solve for x
    x = 2,977,497,349.46/85,536
  6. Step 6: Final answer
    x = 34,809.87

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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.