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Finding the Fourth Proportional to 102,356.46, 153,347.60 and 74,206.70

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Solution

The fourth proportional to 102,356.46, 153,347.60 and 74,206.70 is: 111,174.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,356.46 : 153,347.60 = 74,206.70 : x
  2. Step 2: Convert to fraction form
    102,356.46/153,347.60 = 74,206.70/x
  3. Step 3: Cross multiply
    102,356.46x = 153,347.60 × 74,206.70
  4. Step 4: Simplify right side
    102,356.46x = 11,379,419,348.92
  5. Step 5: Solve for x
    x = 11,379,419,348.92/102,356.46
  6. Step 6: Final answer
    x = 111,174.41

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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.