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Finding the Fourth Proportional to 55,730.64, 83,594.88 and 13,611

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Solution

The fourth proportional to 55,730.64, 83,594.88 and 13,611 is: 20,416.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,730.64 : 83,594.88 = 13,611 : x
  2. Step 2: Convert to fraction form
    55,730.64/83,594.88 = 13,611/x
  3. Step 3: Cross multiply
    55,730.64x = 83,594.88 × 13,611
  4. Step 4: Simplify right side
    55,730.64x = 1,137,809,911.68
  5. Step 5: Solve for x
    x = 1,137,809,911.68/55,730.64
  6. Step 6: Final answer
    x = 20,416.24

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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.