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Finding the Fourth Proportional to 144,857.82, 199,913.03 and 81,195.63

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Solution

The fourth proportional to 144,857.82, 199,913.03 and 81,195.63 is: 112,055.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,857.82 : 199,913.03 = 81,195.63 : x
  2. Step 2: Convert to fraction form
    144,857.82/199,913.03 = 81,195.63/x
  3. Step 3: Cross multiply
    144,857.82x = 199,913.03 × 81,195.63
  4. Step 4: Simplify right side
    144,857.82x = 16,232,064,416.06
  5. Step 5: Solve for x
    x = 16,232,064,416.06/144,857.82
  6. Step 6: Final answer
    x = 112,055.15

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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.