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Finding the Fourth Proportional to 201,689.78, 302,636.73 and 83,445.98

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Solution

The fourth proportional to 201,689.78, 302,636.73 and 83,445.98 is: 125,211.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,689.78 : 302,636.73 = 83,445.98 : x
  2. Step 2: Convert to fraction form
    201,689.78/302,636.73 = 83,445.98/x
  3. Step 3: Cross multiply
    201,689.78x = 302,636.73 × 83,445.98
  4. Step 4: Simplify right side
    201,689.78x = 25,253,818,518.85
  5. Step 5: Solve for x
    x = 25,253,818,518.85/201,689.78
  6. Step 6: Final answer
    x = 125,211.20

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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.