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Finding the Fourth Proportional to 102,005.87, 152,914.97 and 54,653.54

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Solution

The fourth proportional to 102,005.87, 152,914.97 and 54,653.54 is: 81,930.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,005.87 : 152,914.97 = 54,653.54 : x
  2. Step 2: Convert to fraction form
    102,005.87/152,914.97 = 54,653.54/x
  3. Step 3: Cross multiply
    102,005.87x = 152,914.97 × 54,653.54
  4. Step 4: Simplify right side
    102,005.87x = 8,357,343,801.55
  5. Step 5: Solve for x
    x = 8,357,343,801.55/102,005.87
  6. Step 6: Final answer
    x = 81,930.03

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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.