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Finding the Fourth Proportional to 130,956.50, 180,719.97 and 71,340.50

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Solution

The fourth proportional to 130,956.50, 180,719.97 and 71,340.50 is: 98,449.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,956.50 : 180,719.97 = 71,340.50 : x
  2. Step 2: Convert to fraction form
    130,956.50/180,719.97 = 71,340.50/x
  3. Step 3: Cross multiply
    130,956.50x = 180,719.97 × 71,340.50
  4. Step 4: Simplify right side
    130,956.50x = 12,892,653,019.79
  5. Step 5: Solve for x
    x = 12,892,653,019.79/130,956.50
  6. Step 6: Final answer
    x = 98,449.89

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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.