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Finding the Fourth Proportional to 30,192.66, 45,271.71 and 12,647.70

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Solution

The fourth proportional to 30,192.66, 45,271.71 and 12,647.70 is: 18,964.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,192.66 : 45,271.71 = 12,647.70 : x
  2. Step 2: Convert to fraction form
    30,192.66/45,271.71 = 12,647.70/x
  3. Step 3: Cross multiply
    30,192.66x = 45,271.71 × 12,647.70
  4. Step 4: Simplify right side
    30,192.66x = 572,583,006.57
  5. Step 5: Solve for x
    x = 572,583,006.57/30,192.66
  6. Step 6: Final answer
    x = 18,964.31

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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.