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Finding the Fourth Proportional to 201,702.60, 302,262.30 and 89,290.80

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Solution

The fourth proportional to 201,702.60, 302,262.30 and 89,290.80 is: 133,807.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,702.60 : 302,262.30 = 89,290.80 : x
  2. Step 2: Convert to fraction form
    201,702.60/302,262.30 = 89,290.80/x
  3. Step 3: Cross multiply
    201,702.60x = 302,262.30 × 89,290.80
  4. Step 4: Simplify right side
    201,702.60x = 26,989,242,576.84
  5. Step 5: Solve for x
    x = 26,989,242,576.84/201,702.60
  6. Step 6: Final answer
    x = 133,807.11

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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.