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Finding the Fourth Proportional to 225,977.82, 311,877.06 and 130,484.40

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Solution

The fourth proportional to 225,977.82, 311,877.06 and 130,484.40 is: 180,084.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,977.82 : 311,877.06 = 130,484.40 : x
  2. Step 2: Convert to fraction form
    225,977.82/311,877.06 = 130,484.40/x
  3. Step 3: Cross multiply
    225,977.82x = 311,877.06 × 130,484.40
  4. Step 4: Simplify right side
    225,977.82x = 40,695,091,047.86
  5. Step 5: Solve for x
    x = 40,695,091,047.86/225,977.82
  6. Step 6: Final answer
    x = 180,084.45

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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.