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Finding the Fourth Proportional to 144,877.74, 199,931.78 and 81,211.44

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Solution

The fourth proportional to 144,877.74, 199,931.78 and 81,211.44 is: 112,072.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,877.74 : 199,931.78 = 81,211.44 : x
  2. Step 2: Convert to fraction form
    144,877.74/199,931.78 = 81,211.44/x
  3. Step 3: Cross multiply
    144,877.74x = 199,931.78 × 81,211.44
  4. Step 4: Simplify right side
    144,877.74x = 16,236,747,349.51
  5. Step 5: Solve for x
    x = 16,236,747,349.51/144,877.74
  6. Step 6: Final answer
    x = 112,072.06

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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.