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Finding the Fourth Proportional to 216,012.71, 298,097.70 and 120,519.47

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Solution

The fourth proportional to 216,012.71, 298,097.70 and 120,519.47 is: 166,316.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,012.71 : 298,097.70 = 120,519.47 : x
  2. Step 2: Convert to fraction form
    216,012.71/298,097.70 = 120,519.47/x
  3. Step 3: Cross multiply
    216,012.71x = 298,097.70 × 120,519.47
  4. Step 4: Simplify right side
    216,012.71x = 35,926,576,812.22
  5. Step 5: Solve for x
    x = 35,926,576,812.22/216,012.71
  6. Step 6: Final answer
    x = 166,316.96

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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.