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Finding the Fourth Proportional to 147,405, 203,451.75 and 93,679.50

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Solution

The fourth proportional to 147,405, 203,451.75 and 93,679.50 is: 129,298.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,405 : 203,451.75 = 93,679.50 : x
  2. Step 2: Convert to fraction form
    147,405/203,451.75 = 93,679.50/x
  3. Step 3: Cross multiply
    147,405x = 203,451.75 × 93,679.50
  4. Step 4: Simplify right side
    147,405x = 19,059,258,214.13
  5. Step 5: Solve for x
    x = 19,059,258,214.13/147,405
  6. Step 6: Final answer
    x = 129,298.59

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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.