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Finding the Fourth Proportional to 68,705, 103,072.20 and 21,319.06

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Solution

The fourth proportional to 68,705, 103,072.20 and 21,319.06 is: 31,983.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,705 : 103,072.20 = 21,319.06 : x
  2. Step 2: Convert to fraction form
    68,705/103,072.20 = 21,319.06/x
  3. Step 3: Cross multiply
    68,705x = 103,072.20 × 21,319.06
  4. Step 4: Simplify right side
    68,705x = 2,197,402,416.13
  5. Step 5: Solve for x
    x = 2,197,402,416.13/68,705
  6. Step 6: Final answer
    x = 31,983.15

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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.