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Finding the Fourth Proportional to 312,012.71, 468,089.53 and 98,793.57

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Solution

The fourth proportional to 312,012.71, 468,089.53 and 98,793.57 is: 148,212.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,012.71 : 468,089.53 = 98,793.57 : x
  2. Step 2: Convert to fraction form
    312,012.71/468,089.53 = 98,793.57/x
  3. Step 3: Cross multiply
    312,012.71x = 468,089.53 × 98,793.57
  4. Step 4: Simplify right side
    312,012.71x = 46,244,237,812.39
  5. Step 5: Solve for x
    x = 46,244,237,812.39/312,012.71
  6. Step 6: Final answer
    x = 148,212.67

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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.