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Finding the Fourth Proportional to 225,016, 310,777.20 and 153,271.60

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Solution

The fourth proportional to 225,016, 310,777.20 and 153,271.60 is: 211,688.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,016 : 310,777.20 = 153,271.60 : x
  2. Step 2: Convert to fraction form
    225,016/310,777.20 = 153,271.60/x
  3. Step 3: Cross multiply
    225,016x = 310,777.20 × 153,271.60
  4. Step 4: Simplify right side
    225,016x = 47,633,318,687.52
  5. Step 5: Solve for x
    x = 47,633,318,687.52/225,016
  6. Step 6: Final answer
    x = 211,688.59

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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.