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Finding the Fourth Proportional to 201,686.90, 302,530.35 and 130,828.10

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Solution

The fourth proportional to 201,686.90, 302,530.35 and 130,828.10 is: 196,242.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,686.90 : 302,530.35 = 130,828.10 : x
  2. Step 2: Convert to fraction form
    201,686.90/302,530.35 = 130,828.10/x
  3. Step 3: Cross multiply
    201,686.90x = 302,530.35 × 130,828.10
  4. Step 4: Simplify right side
    201,686.90x = 39,579,470,882.84
  5. Step 5: Solve for x
    x = 39,579,470,882.84/201,686.90
  6. Step 6: Final answer
    x = 196,242.15

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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.