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Finding the Fourth Proportional to 51,302.84, 70,794.27 and 30,078

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Solution

The fourth proportional to 51,302.84, 70,794.27 and 30,078 is: 41,505.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,302.84 : 70,794.27 = 30,078 : x
  2. Step 2: Convert to fraction form
    51,302.84/70,794.27 = 30,078/x
  3. Step 3: Cross multiply
    51,302.84x = 70,794.27 × 30,078
  4. Step 4: Simplify right side
    51,302.84x = 2,129,350,053.06
  5. Step 5: Solve for x
    x = 2,129,350,053.06/51,302.84
  6. Step 6: Final answer
    x = 41,505.50

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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.