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Finding the Fourth Proportional to 46,147.50, 69,232.77 and 13,315.50

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Solution

The fourth proportional to 46,147.50, 69,232.77 and 13,315.50 is: 19,976.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,147.50 : 69,232.77 = 13,315.50 : x
  2. Step 2: Convert to fraction form
    46,147.50/69,232.77 = 13,315.50/x
  3. Step 3: Cross multiply
    46,147.50x = 69,232.77 × 13,315.50
  4. Step 4: Simplify right side
    46,147.50x = 921,868,948.94
  5. Step 5: Solve for x
    x = 921,868,948.94/46,147.50
  6. Step 6: Final answer
    x = 19,976.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.