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Finding the Fourth Proportional to 201,846.60, 302,942.70 and 89,699.40

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Solution

The fourth proportional to 201,846.60, 302,942.70 and 89,699.40 is: 134,625.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,846.60 : 302,942.70 = 89,699.40 : x
  2. Step 2: Convert to fraction form
    201,846.60/302,942.70 = 89,699.40/x
  3. Step 3: Cross multiply
    201,846.60x = 302,942.70 × 89,699.40
  4. Step 4: Simplify right side
    201,846.60x = 27,173,778,424.38
  5. Step 5: Solve for x
    x = 27,173,778,424.38/201,846.60
  6. Step 6: Final answer
    x = 134,625.89

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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.