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Finding the Fourth Proportional to 201,281.76, 301,922.64 and 90,344.16

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Solution

The fourth proportional to 201,281.76, 301,922.64 and 90,344.16 is: 135,516.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,281.76 : 301,922.64 = 90,344.16 : x
  2. Step 2: Convert to fraction form
    201,281.76/301,922.64 = 90,344.16/x
  3. Step 3: Cross multiply
    201,281.76x = 301,922.64 × 90,344.16
  4. Step 4: Simplify right side
    201,281.76x = 27,276,947,295.78
  5. Step 5: Solve for x
    x = 27,276,947,295.78/201,281.76
  6. Step 6: Final answer
    x = 135,516.24

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1.5x scale

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.