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Finding the Fourth Proportional to 144,802.81, 199,833.29 and 81,138.25

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Solution

The fourth proportional to 144,802.81, 199,833.29 and 81,138.25 is: 111,973.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,802.81 : 199,833.29 = 81,138.25 : x
  2. Step 2: Convert to fraction form
    144,802.81/199,833.29 = 81,138.25/x
  3. Step 3: Cross multiply
    144,802.81x = 199,833.29 × 81,138.25
  4. Step 4: Simplify right side
    144,802.81x = 16,214,123,442.34
  5. Step 5: Solve for x
    x = 16,214,123,442.34/144,802.81
  6. Step 6: Final answer
    x = 111,973.82

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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.