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Finding the Fourth Proportional to 68,547.69, 102,783.33 and 21,149.32

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Solution

The fourth proportional to 68,547.69, 102,783.33 and 21,149.32 is: 31,712.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,547.69 : 102,783.33 = 21,149.32 : x
  2. Step 2: Convert to fraction form
    68,547.69/102,783.33 = 21,149.32/x
  3. Step 3: Cross multiply
    68,547.69x = 102,783.33 × 21,149.32
  4. Step 4: Simplify right side
    68,547.69x = 2,173,797,536.84
  5. Step 5: Solve for x
    x = 2,173,797,536.84/68,547.69
  6. Step 6: Final answer
    x = 31,712.19

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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.