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Finding the Fourth Proportional to 46,643.40, 69,989.40 and 20,350.80

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Solution

The fourth proportional to 46,643.40, 69,989.40 and 20,350.80 is: 30,536.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,643.40 : 69,989.40 = 20,350.80 : x
  2. Step 2: Convert to fraction form
    46,643.40/69,989.40 = 20,350.80/x
  3. Step 3: Cross multiply
    46,643.40x = 69,989.40 × 20,350.80
  4. Step 4: Simplify right side
    46,643.40x = 1,424,340,281.52
  5. Step 5: Solve for x
    x = 1,424,340,281.52/46,643.40
  6. Step 6: Final answer
    x = 30,536.80

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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.