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Finding the Fourth Proportional to 66,688.80, 100,148.40 and 35,584.80

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Solution

The fourth proportional to 66,688.80, 100,148.40 and 35,584.80 is: 53,438.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,688.80 : 100,148.40 = 35,584.80 : x
  2. Step 2: Convert to fraction form
    66,688.80/100,148.40 = 35,584.80/x
  3. Step 3: Cross multiply
    66,688.80x = 100,148.40 × 35,584.80
  4. Step 4: Simplify right side
    66,688.80x = 3,563,760,784.32
  5. Step 5: Solve for x
    x = 3,563,760,784.32/66,688.80
  6. Step 6: Final answer
    x = 53,438.67

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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.