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Finding the Fourth Proportional to 201,730.40, 302,595.60 and 130,871.60

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Solution

The fourth proportional to 201,730.40, 302,595.60 and 130,871.60 is: 196,307.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,730.40 : 302,595.60 = 130,871.60 : x
  2. Step 2: Convert to fraction form
    201,730.40/302,595.60 = 130,871.60/x
  3. Step 3: Cross multiply
    201,730.40x = 302,595.60 × 130,871.60
  4. Step 4: Simplify right side
    201,730.40x = 39,601,170,324.96
  5. Step 5: Solve for x
    x = 39,601,170,324.96/201,730.40
  6. Step 6: Final answer
    x = 196,307.40

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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.