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Finding the Fourth Proportional to 104,178, 156,293.46 and 30,306

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Solution

The fourth proportional to 104,178, 156,293.46 and 30,306 is: 45,466.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,178 : 156,293.46 = 30,306 : x
  2. Step 2: Convert to fraction form
    104,178/156,293.46 = 30,306/x
  3. Step 3: Cross multiply
    104,178x = 156,293.46 × 30,306
  4. Step 4: Simplify right side
    104,178x = 4,736,629,598.76
  5. Step 5: Solve for x
    x = 4,736,629,598.76/104,178
  6. Step 6: Final answer
    x = 45,466.70

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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.