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Finding the Fourth Proportional to 147,580, 203,660.40 and 87,964

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Solution

The fourth proportional to 147,580, 203,660.40 and 87,964 is: 121,390.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,580 : 203,660.40 = 87,964 : x
  2. Step 2: Convert to fraction form
    147,580/203,660.40 = 87,964/x
  3. Step 3: Cross multiply
    147,580x = 203,660.40 × 87,964
  4. Step 4: Simplify right side
    147,580x = 17,914,783,425.60
  5. Step 5: Solve for x
    x = 17,914,783,425.60/147,580
  6. Step 6: Final answer
    x = 121,390.32

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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.