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Finding the Fourth Proportional to 48,354.31, 72,513 and 18,768.32

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Solution

The fourth proportional to 48,354.31, 72,513 and 18,768.32 is: 28,145.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,354.31 : 72,513 = 18,768.32 : x
  2. Step 2: Convert to fraction form
    48,354.31/72,513 = 18,768.32/x
  3. Step 3: Cross multiply
    48,354.31x = 72,513 × 18,768.32
  4. Step 4: Simplify right side
    48,354.31x = 1,360,946,825.60
  5. Step 5: Solve for x
    x = 1,360,946,825.60/48,354.31
  6. Step 6: Final answer
    x = 28,145.31

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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.