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Finding the Fourth Proportional to 68,384.20, 102,527.70 and 30,962.20

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Solution

The fourth proportional to 68,384.20, 102,527.70 and 30,962.20 is: 46,421.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,384.20 : 102,527.70 = 30,962.20 : x
  2. Step 2: Convert to fraction form
    68,384.20/102,527.70 = 30,962.20/x
  3. Step 3: Cross multiply
    68,384.20x = 102,527.70 × 30,962.20
  4. Step 4: Simplify right side
    68,384.20x = 3,174,483,152.94
  5. Step 5: Solve for x
    x = 3,174,483,152.94/68,384.20
  6. Step 6: Final answer
    x = 46,421.30

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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.