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Finding the Fourth Proportional to 46,647.60, 69,971.40 and 15,478.80

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Solution

The fourth proportional to 46,647.60, 69,971.40 and 15,478.80 is: 23,218.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,647.60 : 69,971.40 = 15,478.80 : x
  2. Step 2: Convert to fraction form
    46,647.60/69,971.40 = 15,478.80/x
  3. Step 3: Cross multiply
    46,647.60x = 69,971.40 × 15,478.80
  4. Step 4: Simplify right side
    46,647.60x = 1,083,073,306.32
  5. Step 5: Solve for x
    x = 1,083,073,306.32/46,647.60
  6. Step 6: Final answer
    x = 23,218.20

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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.