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Finding the Fourth Proportional to 130,628, 180,268.16 and 71,012

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Solution

The fourth proportional to 130,628, 180,268.16 and 71,012 is: 97,997.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,628 : 180,268.16 = 71,012 : x
  2. Step 2: Convert to fraction form
    130,628/180,268.16 = 71,012/x
  3. Step 3: Cross multiply
    130,628x = 180,268.16 × 71,012
  4. Step 4: Simplify right side
    130,628x = 12,801,202,577.92
  5. Step 5: Solve for x
    x = 12,801,202,577.92/130,628
  6. Step 6: Final answer
    x = 97,997.39

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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.