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Finding the Fourth Proportional to 47,983, 71,957.16 and 20,283.16

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Solution

The fourth proportional to 47,983, 71,957.16 and 20,283.16 is: 30,417.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,983 : 71,957.16 = 20,283.16 : x
  2. Step 2: Convert to fraction form
    47,983/71,957.16 = 20,283.16/x
  3. Step 3: Cross multiply
    47,983x = 71,957.16 × 20,283.16
  4. Step 4: Simplify right side
    47,983x = 1,459,518,589.43
  5. Step 5: Solve for x
    x = 1,459,518,589.43/47,983
  6. Step 6: Final answer
    x = 30,417.41

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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.