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Finding the Fourth Proportional to 128,921.60, 193,312.74 and 50,014.64

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Solution

The fourth proportional to 128,921.60, 193,312.74 and 50,014.64 is: 74,994.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,921.60 : 193,312.74 = 50,014.64 : x
  2. Step 2: Convert to fraction form
    128,921.60/193,312.74 = 50,014.64/x
  3. Step 3: Cross multiply
    128,921.60x = 193,312.74 × 50,014.64
  4. Step 4: Simplify right side
    128,921.60x = 9,668,467,098.51
  5. Step 5: Solve for x
    x = 9,668,467,098.51/128,921.60
  6. Step 6: Final answer
    x = 74,994.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.