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Finding the Fourth Proportional to 201,429.60, 302,144.40 and 151,237.95

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Solution

The fourth proportional to 201,429.60, 302,144.40 and 151,237.95 is: 226,856.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,429.60 : 302,144.40 = 151,237.95 : x
  2. Step 2: Convert to fraction form
    201,429.60/302,144.40 = 151,237.95/x
  3. Step 3: Cross multiply
    201,429.60x = 302,144.40 × 151,237.95
  4. Step 4: Simplify right side
    201,429.60x = 45,695,699,659.98
  5. Step 5: Solve for x
    x = 45,695,699,659.98/201,429.60
  6. Step 6: Final answer
    x = 226,856.93

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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.