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Finding the Fourth Proportional to 104,292, 156,442.86 and 30,420

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Solution

The fourth proportional to 104,292, 156,442.86 and 30,420 is: 45,631.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,292 : 156,442.86 = 30,420 : x
  2. Step 2: Convert to fraction form
    104,292/156,442.86 = 30,420/x
  3. Step 3: Cross multiply
    104,292x = 156,442.86 × 30,420
  4. Step 4: Simplify right side
    104,292x = 4,758,991,801.20
  5. Step 5: Solve for x
    x = 4,758,991,801.20/104,292
  6. Step 6: Final answer
    x = 45,631.42

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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.