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Finding the Fourth Proportional to 201,441.60, 302,395.20 and 108,129.60

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Solution

The fourth proportional to 201,441.60, 302,395.20 and 108,129.60 is: 162,319.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,441.60 : 302,395.20 = 108,129.60 : x
  2. Step 2: Convert to fraction form
    201,441.60/302,395.20 = 108,129.60/x
  3. Step 3: Cross multiply
    201,441.60x = 302,395.20 × 108,129.60
  4. Step 4: Simplify right side
    201,441.60x = 32,697,872,017.92
  5. Step 5: Solve for x
    x = 32,697,872,017.92/201,441.60
  6. Step 6: Final answer
    x = 162,319.36

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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.