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Finding the Fourth Proportional to 176,200.80, 264,301.20 and 81,430.80

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Solution

The fourth proportional to 176,200.80, 264,301.20 and 81,430.80 is: 122,146.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,200.80 : 264,301.20 = 81,430.80 : x
  2. Step 2: Convert to fraction form
    176,200.80/264,301.20 = 81,430.80/x
  3. Step 3: Cross multiply
    176,200.80x = 264,301.20 × 81,430.80
  4. Step 4: Simplify right side
    176,200.80x = 21,522,258,156.96
  5. Step 5: Solve for x
    x = 21,522,258,156.96/176,200.80
  6. Step 6: Final answer
    x = 122,146.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.