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Finding the Fourth Proportional to 130,397, 179,959.26 and 73,035.38

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Solution

The fourth proportional to 130,397, 179,959.26 and 73,035.38 is: 100,795.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,397 : 179,959.26 = 73,035.38 : x
  2. Step 2: Convert to fraction form
    130,397/179,959.26 = 73,035.38/x
  3. Step 3: Cross multiply
    130,397x = 179,959.26 × 73,035.38
  4. Step 4: Simplify right side
    130,397x = 13,143,392,938.62
  5. Step 5: Solve for x
    x = 13,143,392,938.62/130,397
  6. Step 6: Final answer
    x = 100,795.21

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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.