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Finding the Fourth Proportional to 51,898.82, 77,872.79 and 30,880.40

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Solution

The fourth proportional to 51,898.82, 77,872.79 and 30,880.40 is: 46,335.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,898.82 : 77,872.79 = 30,880.40 : x
  2. Step 2: Convert to fraction form
    51,898.82/77,872.79 = 30,880.40/x
  3. Step 3: Cross multiply
    51,898.82x = 77,872.79 × 30,880.40
  4. Step 4: Simplify right side
    51,898.82x = 2,404,742,592.15
  5. Step 5: Solve for x
    x = 2,404,742,592.15/51,898.82
  6. Step 6: Final answer
    x = 46,335.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.