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Finding the Fourth Proportional to 104,550, 156,851.64 and 30,678

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Solution

The fourth proportional to 104,550, 156,851.64 and 30,678 is: 46,024.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,550 : 156,851.64 = 30,678 : x
  2. Step 2: Convert to fraction form
    104,550/156,851.64 = 30,678/x
  3. Step 3: Cross multiply
    104,550x = 156,851.64 × 30,678
  4. Step 4: Simplify right side
    104,550x = 4,811,894,611.92
  5. Step 5: Solve for x
    x = 4,811,894,611.92/104,550
  6. Step 6: Final answer
    x = 46,024.82

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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.