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Finding the Fourth Proportional to 105,083.90, 145,068.66 and 66,881.90

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Solution

The fourth proportional to 105,083.90, 145,068.66 and 66,881.90 is: 92,330.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,083.90 : 145,068.66 = 66,881.90 : x
  2. Step 2: Convert to fraction form
    105,083.90/145,068.66 = 66,881.90/x
  3. Step 3: Cross multiply
    105,083.90x = 145,068.66 × 66,881.90
  4. Step 4: Simplify right side
    105,083.90x = 9,702,467,611.25
  5. Step 5: Solve for x
    x = 9,702,467,611.25/105,083.90
  6. Step 6: Final answer
    x = 92,330.68

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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.