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Finding the Fourth Proportional to 180,048.76, 248,469.89 and 99,478.14

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Solution

The fourth proportional to 180,048.76, 248,469.89 and 99,478.14 is: 137,281.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,048.76 : 248,469.89 = 99,478.14 : x
  2. Step 2: Convert to fraction form
    180,048.76/248,469.89 = 99,478.14/x
  3. Step 3: Cross multiply
    180,048.76x = 248,469.89 × 99,478.14
  4. Step 4: Simplify right side
    180,048.76x = 24,717,321,260.86
  5. Step 5: Solve for x
    x = 24,717,321,260.86/180,048.76
  6. Step 6: Final answer
    x = 137,281.27

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1.5x scale

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.