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Finding the Fourth Proportional to 144,710.94, 199,713.40 and 84,287.10

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Solution

The fourth proportional to 144,710.94, 199,713.40 and 84,287.10 is: 116,323.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,710.94 : 199,713.40 = 84,287.10 : x
  2. Step 2: Convert to fraction form
    144,710.94/199,713.40 = 84,287.10/x
  3. Step 3: Cross multiply
    144,710.94x = 199,713.40 × 84,287.10
  4. Step 4: Simplify right side
    144,710.94x = 16,833,263,317.14
  5. Step 5: Solve for x
    x = 16,833,263,317.14/144,710.94
  6. Step 6: Final answer
    x = 116,323.36

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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.