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Finding the Fourth Proportional to 144,306.96, 199,143 and 80,644.74

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Solution

The fourth proportional to 144,306.96, 199,143 and 80,644.74 is: 111,289.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,306.96 : 199,143 = 80,644.74 : x
  2. Step 2: Convert to fraction form
    144,306.96/199,143 = 80,644.74/x
  3. Step 3: Cross multiply
    144,306.96x = 199,143 × 80,644.74
  4. Step 4: Simplify right side
    144,306.96x = 16,059,835,457.82
  5. Step 5: Solve for x
    x = 16,059,835,457.82/144,306.96
  6. Step 6: Final answer
    x = 111,289.40

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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.