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Finding the Fourth Proportional to 268,013.36, 402,078.36 and 81,020

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Solution

The fourth proportional to 268,013.36, 402,078.36 and 81,020 is: 121,547.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,013.36 : 402,078.36 = 81,020 : x
  2. Step 2: Convert to fraction form
    268,013.36/402,078.36 = 81,020/x
  3. Step 3: Cross multiply
    268,013.36x = 402,078.36 × 81,020
  4. Step 4: Simplify right side
    268,013.36x = 32,576,388,727.20
  5. Step 5: Solve for x
    x = 32,576,388,727.20/268,013.36
  6. Step 6: Final answer
    x = 121,547.63

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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.