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Finding the Fourth Proportional to 49,985.90, 74,980.20 and 21,891.50

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Solution

The fourth proportional to 49,985.90, 74,980.20 and 21,891.50 is: 32,837.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,985.90 : 74,980.20 = 21,891.50 : x
  2. Step 2: Convert to fraction form
    49,985.90/74,980.20 = 21,891.50/x
  3. Step 3: Cross multiply
    49,985.90x = 74,980.20 × 21,891.50
  4. Step 4: Simplify right side
    49,985.90x = 1,641,429,048.30
  5. Step 5: Solve for x
    x = 1,641,429,048.30/49,985.90
  6. Step 6: Final answer
    x = 32,837.84

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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.