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Finding the Fourth Proportional to 130,551.85, 180,220.59 and 82,224.80

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Solution

The fourth proportional to 130,551.85, 180,220.59 and 82,224.80 is: 113,507.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,551.85 : 180,220.59 = 82,224.80 : x
  2. Step 2: Convert to fraction form
    130,551.85/180,220.59 = 82,224.80/x
  3. Step 3: Cross multiply
    130,551.85x = 180,220.59 × 82,224.80
  4. Step 4: Simplify right side
    130,551.85x = 14,818,601,968.63
  5. Step 5: Solve for x
    x = 14,818,601,968.63/130,551.85
  6. Step 6: Final answer
    x = 113,507.41

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1.5x scale

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.