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Finding the Fourth Proportional to 130,958.64, 180,728.40 and 74,370

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Solution

The fourth proportional to 130,958.64, 180,728.40 and 74,370 is: 102,633.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,958.64 : 180,728.40 = 74,370 : x
  2. Step 2: Convert to fraction form
    130,958.64/180,728.40 = 74,370/x
  3. Step 3: Cross multiply
    130,958.64x = 180,728.40 × 74,370
  4. Step 4: Simplify right side
    130,958.64x = 13,440,771,108
  5. Step 5: Solve for x
    x = 13,440,771,108/130,958.64
  6. Step 6: Final answer
    x = 102,633.71

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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.