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Finding the Fourth Proportional to 148,978.28, 205,388.80 and 101,148.60

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Solution

The fourth proportional to 148,978.28, 205,388.80 and 101,148.60 is: 139,448.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,978.28 : 205,388.80 = 101,148.60 : x
  2. Step 2: Convert to fraction form
    148,978.28/205,388.80 = 101,148.60/x
  3. Step 3: Cross multiply
    148,978.28x = 205,388.80 × 101,148.60
  4. Step 4: Simplify right side
    148,978.28x = 20,774,789,575.68
  5. Step 5: Solve for x
    x = 20,774,789,575.68/148,978.28
  6. Step 6: Final answer
    x = 139,448.45

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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.