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Finding the Fourth Proportional to 72,801.24, 109,179.90 and 28,416

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Solution

The fourth proportional to 72,801.24, 109,179.90 and 28,416 is: 42,615.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,801.24 : 109,179.90 = 28,416 : x
  2. Step 2: Convert to fraction form
    72,801.24/109,179.90 = 28,416/x
  3. Step 3: Cross multiply
    72,801.24x = 109,179.90 × 28,416
  4. Step 4: Simplify right side
    72,801.24x = 3,102,456,038.40
  5. Step 5: Solve for x
    x = 3,102,456,038.40/72,801.24
  6. Step 6: Final answer
    x = 42,615.43

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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.