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Finding the Fourth Proportional to 128,812.68, 193,219.02 and 40,071.78

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Solution

The fourth proportional to 128,812.68, 193,219.02 and 40,071.78 is: 60,107.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,812.68 : 193,219.02 = 40,071.78 : x
  2. Step 2: Convert to fraction form
    128,812.68/193,219.02 = 40,071.78/x
  3. Step 3: Cross multiply
    128,812.68x = 193,219.02 × 40,071.78
  4. Step 4: Simplify right side
    128,812.68x = 7,742,630,061.26
  5. Step 5: Solve for x
    x = 7,742,630,061.26/128,812.68
  6. Step 6: Final answer
    x = 60,107.67

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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.