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Finding the Fourth Proportional to 68,384.70, 102,528.45 and 30,962.70

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Solution

The fourth proportional to 68,384.70, 102,528.45 and 30,962.70 is: 46,422.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,384.70 : 102,528.45 = 30,962.70 : x
  2. Step 2: Convert to fraction form
    68,384.70/102,528.45 = 30,962.70/x
  3. Step 3: Cross multiply
    68,384.70x = 102,528.45 × 30,962.70
  4. Step 4: Simplify right side
    68,384.70x = 3,174,557,638.82
  5. Step 5: Solve for x
    x = 3,174,557,638.82/68,384.70
  6. Step 6: Final answer
    x = 46,422.05

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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.