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Finding the Fourth Proportional to 202,365.64, 278,808.90 and 141,054.28

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Solution

The fourth proportional to 202,365.64, 278,808.90 and 141,054.28 is: 194,337.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,365.64 : 278,808.90 = 141,054.28 : x
  2. Step 2: Convert to fraction form
    202,365.64/278,808.90 = 141,054.28/x
  3. Step 3: Cross multiply
    202,365.64x = 278,808.90 × 141,054.28
  4. Step 4: Simplify right side
    202,365.64x = 39,327,188,647.09
  5. Step 5: Solve for x
    x = 39,327,188,647.09/202,365.64
  6. Step 6: Final answer
    x = 194,337.28

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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.