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Finding the Fourth Proportional to 164,023.86, 226,369.65 and 100,403.70

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Solution

The fourth proportional to 164,023.86, 226,369.65 and 100,403.70 is: 138,567.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,023.86 : 226,369.65 = 100,403.70 : x
  2. Step 2: Convert to fraction form
    164,023.86/226,369.65 = 100,403.70/x
  3. Step 3: Cross multiply
    164,023.86x = 226,369.65 × 100,403.70
  4. Step 4: Simplify right side
    164,023.86x = 22,728,350,427.71
  5. Step 5: Solve for x
    x = 22,728,350,427.71/164,023.86
  6. Step 6: Final answer
    x = 138,567.34

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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.