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Finding the Fourth Proportional to 197,201.60, 272,076 and 112,313.60

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Solution

The fourth proportional to 197,201.60, 272,076 and 112,313.60 is: 154,957.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,201.60 : 272,076 = 112,313.60 : x
  2. Step 2: Convert to fraction form
    197,201.60/272,076 = 112,313.60/x
  3. Step 3: Cross multiply
    197,201.60x = 272,076 × 112,313.60
  4. Step 4: Simplify right side
    197,201.60x = 30,557,835,033.60
  5. Step 5: Solve for x
    x = 30,557,835,033.60/197,201.60
  6. Step 6: Final answer
    x = 154,957.34

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1.5x scale

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.