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Finding the Fourth Proportional to 31,216, 43,077.90 and 17,068.90

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Solution

The fourth proportional to 31,216, 43,077.90 and 17,068.90 is: 23,554.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,216 : 43,077.90 = 17,068.90 : x
  2. Step 2: Convert to fraction form
    31,216/43,077.90 = 17,068.90/x
  3. Step 3: Cross multiply
    31,216x = 43,077.90 × 17,068.90
  4. Step 4: Simplify right side
    31,216x = 735,292,367.31
  5. Step 5: Solve for x
    x = 735,292,367.31/31,216
  6. Step 6: Final answer
    x = 23,554.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.