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Finding the Fourth Proportional to 201,984.40, 302,903.70 and 102,111.40

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Solution

The fourth proportional to 201,984.40, 302,903.70 and 102,111.40 is: 153,130.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,984.40 : 302,903.70 = 102,111.40 : x
  2. Step 2: Convert to fraction form
    201,984.40/302,903.70 = 102,111.40/x
  3. Step 3: Cross multiply
    201,984.40x = 302,903.70 × 102,111.40
  4. Step 4: Simplify right side
    201,984.40x = 30,929,920,872.18
  5. Step 5: Solve for x
    x = 30,929,920,872.18/201,984.40
  6. Step 6: Final answer
    x = 153,130.25

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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.