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Finding the Fourth Proportional to 51,051, 70,450.38 and 28,695

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Solution

The fourth proportional to 51,051, 70,450.38 and 28,695 is: 39,599.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,051 : 70,450.38 = 28,695 : x
  2. Step 2: Convert to fraction form
    51,051/70,450.38 = 28,695/x
  3. Step 3: Cross multiply
    51,051x = 70,450.38 × 28,695
  4. Step 4: Simplify right side
    51,051x = 2,021,573,654.10
  5. Step 5: Solve for x
    x = 2,021,573,654.10/51,051
  6. Step 6: Final answer
    x = 39,599.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.