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Finding the Fourth Proportional to 102,647.70, 153,971.55 and 74,435.40

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Solution

The fourth proportional to 102,647.70, 153,971.55 and 74,435.40 is: 111,653.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,647.70 : 153,971.55 = 74,435.40 : x
  2. Step 2: Convert to fraction form
    102,647.70/153,971.55 = 74,435.40/x
  3. Step 3: Cross multiply
    102,647.70x = 153,971.55 × 74,435.40
  4. Step 4: Simplify right side
    102,647.70x = 11,460,933,912.87
  5. Step 5: Solve for x
    x = 11,460,933,912.87/102,647.70
  6. Step 6: Final answer
    x = 111,653.10

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1.5x scale

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.