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Finding the Fourth Proportional to 128,268.72, 177,041.16 and 77,958

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Solution

The fourth proportional to 128,268.72, 177,041.16 and 77,958 is: 107,600.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,268.72 : 177,041.16 = 77,958 : x
  2. Step 2: Convert to fraction form
    128,268.72/177,041.16 = 77,958/x
  3. Step 3: Cross multiply
    128,268.72x = 177,041.16 × 77,958
  4. Step 4: Simplify right side
    128,268.72x = 13,801,774,751.28
  5. Step 5: Solve for x
    x = 13,801,774,751.28/128,268.72
  6. Step 6: Final answer
    x = 107,600.47

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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.