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Finding the Fourth Proportional to 166,083, 229,199.40 and 90,636.36

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Solution

The fourth proportional to 166,083, 229,199.40 and 90,636.36 is: 125,080.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,083 : 229,199.40 = 90,636.36 : x
  2. Step 2: Convert to fraction form
    166,083/229,199.40 = 90,636.36/x
  3. Step 3: Cross multiply
    166,083x = 229,199.40 × 90,636.36
  4. Step 4: Simplify right side
    166,083x = 20,773,799,330.18
  5. Step 5: Solve for x
    x = 20,773,799,330.18/166,083
  6. Step 6: Final answer
    x = 125,080.83

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