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Finding the Fourth Proportional to 208,116.39, 312,048.16 and 81,605.06

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Solution

The fourth proportional to 208,116.39, 312,048.16 and 81,605.06 is: 122,358.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,116.39 : 312,048.16 = 81,605.06 : x
  2. Step 2: Convert to fraction form
    208,116.39/312,048.16 = 81,605.06/x
  3. Step 3: Cross multiply
    208,116.39x = 312,048.16 × 81,605.06
  4. Step 4: Simplify right side
    208,116.39x = 25,464,709,395.80
  5. Step 5: Solve for x
    x = 25,464,709,395.80/208,116.39
  6. Step 6: Final answer
    x = 122,358.02

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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.