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Finding the Fourth Proportional to 130,999.56, 180,769.68 and 74,400

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Solution

The fourth proportional to 130,999.56, 180,769.68 and 74,400 is: 102,666.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,999.56 : 180,769.68 = 74,400 : x
  2. Step 2: Convert to fraction form
    130,999.56/180,769.68 = 74,400/x
  3. Step 3: Cross multiply
    130,999.56x = 180,769.68 × 74,400
  4. Step 4: Simplify right side
    130,999.56x = 13,449,264,192
  5. Step 5: Solve for x
    x = 13,449,264,192/130,999.56
  6. Step 6: Final answer
    x = 102,666.48

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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.