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Finding the Fourth Proportional to 128,982.86, 178,001.45 and 74,533.22

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Solution

The fourth proportional to 128,982.86, 178,001.45 and 74,533.22 is: 102,858.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,982.86 : 178,001.45 = 74,533.22 : x
  2. Step 2: Convert to fraction form
    128,982.86/178,001.45 = 74,533.22/x
  3. Step 3: Cross multiply
    128,982.86x = 178,001.45 × 74,533.22
  4. Step 4: Simplify right side
    128,982.86x = 13,267,020,529.49
  5. Step 5: Solve for x
    x = 13,267,020,529.49/128,982.86
  6. Step 6: Final answer
    x = 102,858.79

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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.