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Finding the Fourth Proportional to 128,709.60, 193,071.74 and 43,286.16

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Solution

The fourth proportional to 128,709.60, 193,071.74 and 43,286.16 is: 64,931.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,709.60 : 193,071.74 = 43,286.16 : x
  2. Step 2: Convert to fraction form
    128,709.60/193,071.74 = 43,286.16/x
  3. Step 3: Cross multiply
    128,709.60x = 193,071.74 × 43,286.16
  4. Step 4: Simplify right side
    128,709.60x = 8,357,334,012.69
  5. Step 5: Solve for x
    x = 8,357,334,012.69/128,709.60
  6. Step 6: Final answer
    x = 64,931.71

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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.