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Finding the Fourth Proportional to 225,756.48, 311,528.80 and 130,267.20

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Solution

The fourth proportional to 225,756.48, 311,528.80 and 130,267.20 is: 179,760.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,756.48 : 311,528.80 = 130,267.20 : x
  2. Step 2: Convert to fraction form
    225,756.48/311,528.80 = 130,267.20/x
  3. Step 3: Cross multiply
    225,756.48x = 311,528.80 × 130,267.20
  4. Step 4: Simplify right side
    225,756.48x = 40,581,984,495.36
  5. Step 5: Solve for x
    x = 40,581,984,495.36/225,756.48
  6. Step 6: Final answer
    x = 179,760.00

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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.