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Finding the Fourth Proportional to 55,303.80, 82,956.02 and 13,750.80

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Solution

The fourth proportional to 55,303.80, 82,956.02 and 13,750.80 is: 20,626.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,303.80 : 82,956.02 = 13,750.80 : x
  2. Step 2: Convert to fraction form
    55,303.80/82,956.02 = 13,750.80/x
  3. Step 3: Cross multiply
    55,303.80x = 82,956.02 × 13,750.80
  4. Step 4: Simplify right side
    55,303.80x = 1,140,711,639.82
  5. Step 5: Solve for x
    x = 1,140,711,639.82/55,303.80
  6. Step 6: Final answer
    x = 20,626.28

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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.