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Finding the Fourth Proportional to 201,638.84, 302,645.07 and 101,869.34

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Solution

The fourth proportional to 201,638.84, 302,645.07 and 101,869.34 is: 152,898.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,638.84 : 302,645.07 = 101,869.34 : x
  2. Step 2: Convert to fraction form
    201,638.84/302,645.07 = 101,869.34/x
  3. Step 3: Cross multiply
    201,638.84x = 302,645.07 × 101,869.34
  4. Step 4: Simplify right side
    201,638.84x = 30,830,252,021.93
  5. Step 5: Solve for x
    x = 30,830,252,021.93/201,638.84
  6. Step 6: Final answer
    x = 152,898.38

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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.