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Finding the Fourth Proportional to 144,777.84, 199,813.14 and 81,129.12

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Solution

The fourth proportional to 144,777.84, 199,813.14 and 81,129.12 is: 111,969.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,777.84 : 199,813.14 = 81,129.12 : x
  2. Step 2: Convert to fraction form
    144,777.84/199,813.14 = 81,129.12/x
  3. Step 3: Cross multiply
    144,777.84x = 199,813.14 × 81,129.12
  4. Step 4: Simplify right side
    144,777.84x = 16,210,664,212.64
  5. Step 5: Solve for x
    x = 16,210,664,212.64/144,777.84
  6. Step 6: Final answer
    x = 111,969.24

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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.