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Finding the Fourth Proportional to 201,922.90, 302,811.45 and 102,049.90

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Solution

The fourth proportional to 201,922.90, 302,811.45 and 102,049.90 is: 153,038.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,922.90 : 302,811.45 = 102,049.90 : x
  2. Step 2: Convert to fraction form
    201,922.90/302,811.45 = 102,049.90/x
  3. Step 3: Cross multiply
    201,922.90x = 302,811.45 × 102,049.90
  4. Step 4: Simplify right side
    201,922.90x = 30,901,878,191.36
  5. Step 5: Solve for x
    x = 30,901,878,191.36/201,922.90
  6. Step 6: Final answer
    x = 153,038.01

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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.