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Finding the Fourth Proportional to 225,510.02, 311,130.61 and 153,765.49

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Solution

The fourth proportional to 225,510.02, 311,130.61 and 153,765.49 is: 212,146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,510.02 : 311,130.61 = 153,765.49 : x
  2. Step 2: Convert to fraction form
    225,510.02/311,130.61 = 153,765.49/x
  3. Step 3: Cross multiply
    225,510.02x = 311,130.61 × 153,765.49
  4. Step 4: Simplify right side
    225,510.02x = 47,841,149,538.41
  5. Step 5: Solve for x
    x = 47,841,149,538.41/225,510.02
  6. Step 6: Final answer
    x = 212,146.44

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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.