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Finding the Fourth Proportional to 45,372, 68,071.80 and 23,200.94

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Solution

The fourth proportional to 45,372, 68,071.80 and 23,200.94 is: 34,808.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,372 : 68,071.80 = 23,200.94 : x
  2. Step 2: Convert to fraction form
    45,372/68,071.80 = 23,200.94/x
  3. Step 3: Cross multiply
    45,372x = 68,071.80 × 23,200.94
  4. Step 4: Simplify right side
    45,372x = 1,579,329,747.49
  5. Step 5: Solve for x
    x = 1,579,329,747.49/45,372
  6. Step 6: Final answer
    x = 34,808.47

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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.