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Finding the Fourth Proportional to 201,315.60, 302,009.85 and 101,223.90

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Solution

The fourth proportional to 201,315.60, 302,009.85 and 101,223.90 is: 151,854.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,315.60 : 302,009.85 = 101,223.90 : x
  2. Step 2: Convert to fraction form
    201,315.60/302,009.85 = 101,223.90/x
  3. Step 3: Cross multiply
    201,315.60x = 302,009.85 × 101,223.90
  4. Step 4: Simplify right side
    201,315.60x = 30,570,614,855.42
  5. Step 5: Solve for x
    x = 30,570,614,855.42/201,315.60
  6. Step 6: Final answer
    x = 151,854.18

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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.