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Finding the Fourth Proportional to 201,770.10, 302,630.85 and 83,429.10

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Solution

The fourth proportional to 201,770.10, 302,630.85 and 83,429.10 is: 125,133.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,770.10 : 302,630.85 = 83,429.10 : x
  2. Step 2: Convert to fraction form
    201,770.10/302,630.85 = 83,429.10/x
  3. Step 3: Cross multiply
    201,770.10x = 302,630.85 × 83,429.10
  4. Step 4: Simplify right side
    201,770.10x = 25,248,219,447.74
  5. Step 5: Solve for x
    x = 25,248,219,447.74/201,770.10
  6. Step 6: Final answer
    x = 125,133.60

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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.