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Finding the Fourth Proportional to 201,302.28, 301,765.70 and 68,089.85

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Solution

The fourth proportional to 201,302.28, 301,765.70 and 68,089.85 is: 102,071.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,302.28 : 301,765.70 = 68,089.85 : x
  2. Step 2: Convert to fraction form
    201,302.28/301,765.70 = 68,089.85/x
  3. Step 3: Cross multiply
    201,302.28x = 301,765.70 × 68,089.85
  4. Step 4: Simplify right side
    201,302.28x = 20,547,181,041.16
  5. Step 5: Solve for x
    x = 20,547,181,041.16/201,302.28
  6. Step 6: Final answer
    x = 102,071.28

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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.