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Finding the Fourth Proportional to 51,282.88, 70,773.08 and 30,069

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Solution

The fourth proportional to 51,282.88, 70,773.08 and 30,069 is: 41,496.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,282.88 : 70,773.08 = 30,069 : x
  2. Step 2: Convert to fraction form
    51,282.88/70,773.08 = 30,069/x
  3. Step 3: Cross multiply
    51,282.88x = 70,773.08 × 30,069
  4. Step 4: Simplify right side
    51,282.88x = 2,128,075,742.52
  5. Step 5: Solve for x
    x = 2,128,075,742.52/51,282.88
  6. Step 6: Final answer
    x = 41,496.81

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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.