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Finding the Fourth Proportional to 104,378, 156,595.80 and 30,506

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Solution

The fourth proportional to 104,378, 156,595.80 and 30,506 is: 45,767.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,378 : 156,595.80 = 30,506 : x
  2. Step 2: Convert to fraction form
    104,378/156,595.80 = 30,506/x
  3. Step 3: Cross multiply
    104,378x = 156,595.80 × 30,506
  4. Step 4: Simplify right side
    104,378x = 4,777,111,474.80
  5. Step 5: Solve for x
    x = 4,777,111,474.80/104,378
  6. Step 6: Final answer
    x = 45,767.42

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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.