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Finding the Fourth Proportional to 201,638.08, 302,643.92 and 101,868.56

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Solution

The fourth proportional to 201,638.08, 302,643.92 and 101,868.56 is: 152,897.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,638.08 : 302,643.92 = 101,868.56 : x
  2. Step 2: Convert to fraction form
    201,638.08/302,643.92 = 101,868.56/x
  3. Step 3: Cross multiply
    201,638.08x = 302,643.92 × 101,868.56
  4. Step 4: Simplify right side
    201,638.08x = 30,829,900,323.16
  5. Step 5: Solve for x
    x = 30,829,900,323.16/201,638.08
  6. Step 6: Final answer
    x = 152,897.21

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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.