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Finding the Fourth Proportional to 201,102.10, 301,739.55 and 102,606.10

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Solution

The fourth proportional to 201,102.10, 301,739.55 and 102,606.10 is: 153,953.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,102.10 : 301,739.55 = 102,606.10 : x
  2. Step 2: Convert to fraction form
    201,102.10/301,739.55 = 102,606.10/x
  3. Step 3: Cross multiply
    201,102.10x = 301,739.55 × 102,606.10
  4. Step 4: Simplify right side
    201,102.10x = 30,960,318,441.26
  5. Step 5: Solve for x
    x = 30,960,318,441.26/201,102.10
  6. Step 6: Final answer
    x = 153,953.23

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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.