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Finding the Fourth Proportional to 176,728.40, 264,898.20 and 76,871.60

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Solution

The fourth proportional to 176,728.40, 264,898.20 and 76,871.60 is: 115,222.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,728.40 : 264,898.20 = 76,871.60 : x
  2. Step 2: Convert to fraction form
    176,728.40/264,898.20 = 76,871.60/x
  3. Step 3: Cross multiply
    176,728.40x = 264,898.20 × 76,871.60
  4. Step 4: Simplify right side
    176,728.40x = 20,363,148,471.12
  5. Step 5: Solve for x
    x = 20,363,148,471.12/176,728.40
  6. Step 6: Final answer
    x = 115,222.84

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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.