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Finding the Fourth Proportional to 51,012, 70,396.56 and 28,656

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Solution

The fourth proportional to 51,012, 70,396.56 and 28,656 is: 39,545.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,012 : 70,396.56 = 28,656 : x
  2. Step 2: Convert to fraction form
    51,012/70,396.56 = 28,656/x
  3. Step 3: Cross multiply
    51,012x = 70,396.56 × 28,656
  4. Step 4: Simplify right side
    51,012x = 2,017,283,823.36
  5. Step 5: Solve for x
    x = 2,017,283,823.36/51,012
  6. Step 6: Final answer
    x = 39,545.28

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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.