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Finding the Fourth Proportional to 47,989.77, 71,953.82 and 19,929.18

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Solution

The fourth proportional to 47,989.77, 71,953.82 and 19,929.18 is: 29,880.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,989.77 : 71,953.82 = 19,929.18 : x
  2. Step 2: Convert to fraction form
    47,989.77/71,953.82 = 19,929.18/x
  3. Step 3: Cross multiply
    47,989.77x = 71,953.82 × 19,929.18
  4. Step 4: Simplify right side
    47,989.77x = 1,433,980,630.47
  5. Step 5: Solve for x
    x = 1,433,980,630.47/47,989.77
  6. Step 6: Final answer
    x = 29,880.96

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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.