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Finding the Fourth Proportional to 144,970.73, 200,059.18 and 81,309.93

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Solution

The fourth proportional to 144,970.73, 200,059.18 and 81,309.93 is: 112,207.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,970.73 : 200,059.18 = 81,309.93 : x
  2. Step 2: Convert to fraction form
    144,970.73/200,059.18 = 81,309.93/x
  3. Step 3: Cross multiply
    144,970.73x = 200,059.18 × 81,309.93
  4. Step 4: Simplify right side
    144,970.73x = 16,266,797,921.66
  5. Step 5: Solve for x
    x = 16,266,797,921.66/144,970.73
  6. Step 6: Final answer
    x = 112,207.46

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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.