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Finding the Fourth Proportional to 292,083.90, 438,093.45 and 81,743.10

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Solution

The fourth proportional to 292,083.90, 438,093.45 and 81,743.10 is: 122,605.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,083.90 : 438,093.45 = 81,743.10 : x
  2. Step 2: Convert to fraction form
    292,083.90/438,093.45 = 81,743.10/x
  3. Step 3: Cross multiply
    292,083.90x = 438,093.45 × 81,743.10
  4. Step 4: Simplify right side
    292,083.90x = 35,811,116,692.70
  5. Step 5: Solve for x
    x = 35,811,116,692.70/292,083.90
  6. Step 6: Final answer
    x = 122,605.58

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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.