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Finding the Fourth Proportional to 201,680.90, 302,521.35 and 130,822.10

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Solution

The fourth proportional to 201,680.90, 302,521.35 and 130,822.10 is: 196,233.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,680.90 : 302,521.35 = 130,822.10 : x
  2. Step 2: Convert to fraction form
    201,680.90/302,521.35 = 130,822.10/x
  3. Step 3: Cross multiply
    201,680.90x = 302,521.35 × 130,822.10
  4. Step 4: Simplify right side
    201,680.90x = 39,576,478,301.84
  5. Step 5: Solve for x
    x = 39,576,478,301.84/201,680.90
  6. Step 6: Final answer
    x = 196,233.15

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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.