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Finding the Fourth Proportional to 141,802.39, 195,678.49 and 81,378.01

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Solution

The fourth proportional to 141,802.39, 195,678.49 and 81,378.01 is: 112,296.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,802.39 : 195,678.49 = 81,378.01 : x
  2. Step 2: Convert to fraction form
    141,802.39/195,678.49 = 81,378.01/x
  3. Step 3: Cross multiply
    141,802.39x = 195,678.49 × 81,378.01
  4. Step 4: Simplify right side
    141,802.39x = 15,923,926,116.00
  5. Step 5: Solve for x
    x = 15,923,926,116.00/141,802.39
  6. Step 6: Final answer
    x = 112,296.60

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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.