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Finding the Fourth Proportional to 201,913.40, 302,797.20 and 102,040.40

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Solution

The fourth proportional to 201,913.40, 302,797.20 and 102,040.40 is: 153,023.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,913.40 : 302,797.20 = 102,040.40 : x
  2. Step 2: Convert to fraction form
    201,913.40/302,797.20 = 102,040.40/x
  3. Step 3: Cross multiply
    201,913.40x = 302,797.20 × 102,040.40
  4. Step 4: Simplify right side
    201,913.40x = 30,897,547,406.88
  5. Step 5: Solve for x
    x = 30,897,547,406.88/201,913.40
  6. Step 6: Final answer
    x = 153,023.76

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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.