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Finding the Fourth Proportional to 46,646.88, 69,999.36 and 20,352

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Solution

The fourth proportional to 46,646.88, 69,999.36 and 20,352 is: 30,540.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,646.88 : 69,999.36 = 20,352 : x
  2. Step 2: Convert to fraction form
    46,646.88/69,999.36 = 20,352/x
  3. Step 3: Cross multiply
    46,646.88x = 69,999.36 × 20,352
  4. Step 4: Simplify right side
    46,646.88x = 1,424,626,974.72
  5. Step 5: Solve for x
    x = 1,424,626,974.72/46,646.88
  6. Step 6: Final answer
    x = 30,540.67

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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.