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Finding the Fourth Proportional to 144,000.50, 198,720.69 and 84,384.50

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Solution

The fourth proportional to 144,000.50, 198,720.69 and 84,384.50 is: 116,450.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,000.50 : 198,720.69 = 84,384.50 : x
  2. Step 2: Convert to fraction form
    144,000.50/198,720.69 = 84,384.50/x
  3. Step 3: Cross multiply
    144,000.50x = 198,720.69 × 84,384.50
  4. Step 4: Simplify right side
    144,000.50x = 16,768,946,065.31
  5. Step 5: Solve for x
    x = 16,768,946,065.31/144,000.50
  6. Step 6: Final answer
    x = 116,450.61

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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.