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Finding the Fourth Proportional to 228,002.70, 342,004.05 and 144,021.90

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Solution

The fourth proportional to 228,002.70, 342,004.05 and 144,021.90 is: 216,032.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,002.70 : 342,004.05 = 144,021.90 : x
  2. Step 2: Convert to fraction form
    228,002.70/342,004.05 = 144,021.90/x
  3. Step 3: Cross multiply
    228,002.70x = 342,004.05 × 144,021.90
  4. Step 4: Simplify right side
    228,002.70x = 49,256,073,088.70
  5. Step 5: Solve for x
    x = 49,256,073,088.70/228,002.70
  6. Step 6: Final answer
    x = 216,032.85

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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.