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Finding the Fourth Proportional to 51,288, 70,768.89 and 34,264.95

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Solution

The fourth proportional to 51,288, 70,768.89 and 34,264.95 is: 47,279.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,288 : 70,768.89 = 34,264.95 : x
  2. Step 2: Convert to fraction form
    51,288/70,768.89 = 34,264.95/x
  3. Step 3: Cross multiply
    51,288x = 70,768.89 × 34,264.95
  4. Step 4: Simplify right side
    51,288x = 2,424,892,477.41
  5. Step 5: Solve for x
    x = 2,424,892,477.41/51,288
  6. Step 6: Final answer
    x = 47,279.92

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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.