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Finding the Fourth Proportional to 102,675.90, 153,977.40 and 71,085.90

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Solution

The fourth proportional to 102,675.90, 153,977.40 and 71,085.90 is: 106,603.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,675.90 : 153,977.40 = 71,085.90 : x
  2. Step 2: Convert to fraction form
    102,675.90/153,977.40 = 71,085.90/x
  3. Step 3: Cross multiply
    102,675.90x = 153,977.40 × 71,085.90
  4. Step 4: Simplify right side
    102,675.90x = 10,945,622,058.66
  5. Step 5: Solve for x
    x = 10,945,622,058.66/102,675.90
  6. Step 6: Final answer
    x = 106,603.61

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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.