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Finding the Fourth Proportional to 61,800, 92,706.84 and 19,665.32

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Solution

The fourth proportional to 61,800, 92,706.84 and 19,665.32 is: 29,500.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,800 : 92,706.84 = 19,665.32 : x
  2. Step 2: Convert to fraction form
    61,800/92,706.84 = 19,665.32/x
  3. Step 3: Cross multiply
    61,800x = 92,706.84 × 19,665.32
  4. Step 4: Simplify right side
    61,800x = 1,823,109,674.79
  5. Step 5: Solve for x
    x = 1,823,109,674.79/61,800
  6. Step 6: Final answer
    x = 29,500.16

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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.