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Finding the Fourth Proportional to 144,776.84, 199,811.76 and 81,128.12

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Solution

The fourth proportional to 144,776.84, 199,811.76 and 81,128.12 is: 111,967.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,776.84 : 199,811.76 = 81,128.12 : x
  2. Step 2: Convert to fraction form
    144,776.84/199,811.76 = 81,128.12/x
  3. Step 3: Cross multiply
    144,776.84x = 199,811.76 × 81,128.12
  4. Step 4: Simplify right side
    144,776.84x = 16,210,352,442.69
  5. Step 5: Solve for x
    x = 16,210,352,442.69/144,776.84
  6. Step 6: Final answer
    x = 111,967.86

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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.