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Finding the Fourth Proportional to 130,562, 180,182.85 and 73,991.60

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Solution

The fourth proportional to 130,562, 180,182.85 and 73,991.60 is: 102,112.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,562 : 180,182.85 = 73,991.60 : x
  2. Step 2: Convert to fraction form
    130,562/180,182.85 = 73,991.60/x
  3. Step 3: Cross multiply
    130,562x = 180,182.85 × 73,991.60
  4. Step 4: Simplify right side
    130,562x = 13,332,017,364.06
  5. Step 5: Solve for x
    x = 13,332,017,364.06/130,562
  6. Step 6: Final answer
    x = 102,112.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.