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Finding the Fourth Proportional to 68,302.76, 102,466.47 and 30,880.45

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Solution

The fourth proportional to 68,302.76, 102,466.47 and 30,880.45 is: 46,326.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,302.76 : 102,466.47 = 30,880.45 : x
  2. Step 2: Convert to fraction form
    68,302.76/102,466.47 = 30,880.45/x
  3. Step 3: Cross multiply
    68,302.76x = 102,466.47 × 30,880.45
  4. Step 4: Simplify right side
    68,302.76x = 3,164,210,947.40
  5. Step 5: Solve for x
    x = 3,164,210,947.40/68,302.76
  6. Step 6: Final answer
    x = 46,326.26

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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.