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Finding the Fourth Proportional to 201,642.90, 302,610.15 and 112,802.10

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Solution

The fourth proportional to 201,642.90, 302,610.15 and 112,802.10 is: 169,284.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,642.90 : 302,610.15 = 112,802.10 : x
  2. Step 2: Convert to fraction form
    201,642.90/302,610.15 = 112,802.10/x
  3. Step 3: Cross multiply
    201,642.90x = 302,610.15 × 112,802.10
  4. Step 4: Simplify right side
    201,642.90x = 34,135,060,401.32
  5. Step 5: Solve for x
    x = 34,135,060,401.32/201,642.90
  6. Step 6: Final answer
    x = 169,284.71

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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.