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Finding the Fourth Proportional to 55,190.64, 82,711.40 and 39,574

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Solution

The fourth proportional to 55,190.64, 82,711.40 and 39,574 is: 59,307.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,190.64 : 82,711.40 = 39,574 : x
  2. Step 2: Convert to fraction form
    55,190.64/82,711.40 = 39,574/x
  3. Step 3: Cross multiply
    55,190.64x = 82,711.40 × 39,574
  4. Step 4: Simplify right side
    55,190.64x = 3,273,220,943.60
  5. Step 5: Solve for x
    x = 3,273,220,943.60/55,190.64
  6. Step 6: Final answer
    x = 59,307.54

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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.