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Finding the Fourth Proportional to 180,309.96, 248,808.60 and 99,724.68

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Solution

The fourth proportional to 180,309.96, 248,808.60 and 99,724.68 is: 137,609.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,309.96 : 248,808.60 = 99,724.68 : x
  2. Step 2: Convert to fraction form
    180,309.96/248,808.60 = 99,724.68/x
  3. Step 3: Cross multiply
    180,309.96x = 248,808.60 × 99,724.68
  4. Step 4: Simplify right side
    180,309.96x = 24,812,358,016.25
  5. Step 5: Solve for x
    x = 24,812,358,016.25/180,309.96
  6. Step 6: Final answer
    x = 137,609.47

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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.