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Finding the Fourth Proportional to 272,993.30, 409,547.55 and 86,023.70

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Solution

The fourth proportional to 272,993.30, 409,547.55 and 86,023.70 is: 129,053.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,993.30 : 409,547.55 = 86,023.70 : x
  2. Step 2: Convert to fraction form
    272,993.30/409,547.55 = 86,023.70/x
  3. Step 3: Cross multiply
    272,993.30x = 409,547.55 × 86,023.70
  4. Step 4: Simplify right side
    272,993.30x = 35,230,795,576.94
  5. Step 5: Solve for x
    x = 35,230,795,576.94/272,993.30
  6. Step 6: Final answer
    x = 129,053.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.