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Finding the Fourth Proportional to 68,920.32, 103,316.80 and 26,828.16

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Solution

The fourth proportional to 68,920.32, 103,316.80 and 26,828.16 is: 40,217.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,920.32 : 103,316.80 = 26,828.16 : x
  2. Step 2: Convert to fraction form
    68,920.32/103,316.80 = 26,828.16/x
  3. Step 3: Cross multiply
    68,920.32x = 103,316.80 × 26,828.16
  4. Step 4: Simplify right side
    68,920.32x = 2,771,799,641.09
  5. Step 5: Solve for x
    x = 2,771,799,641.09/68,920.32
  6. Step 6: Final answer
    x = 40,217.45

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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.