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Finding the Fourth Proportional to 55,312.64, 82,969.26 and 13,759.64

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Solution

The fourth proportional to 55,312.64, 82,969.26 and 13,759.64 is: 20,639.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,312.64 : 82,969.26 = 13,759.64 : x
  2. Step 2: Convert to fraction form
    55,312.64/82,969.26 = 13,759.64/x
  3. Step 3: Cross multiply
    55,312.64x = 82,969.26 × 13,759.64
  4. Step 4: Simplify right side
    55,312.64x = 1,141,627,148.67
  5. Step 5: Solve for x
    x = 1,141,627,148.67/55,312.64
  6. Step 6: Final answer
    x = 20,639.53

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1.5x scale

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.