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Finding the Fourth Proportional to 144,973.86, 200,061.46 and 81,310.28

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Solution

The fourth proportional to 144,973.86, 200,061.46 and 81,310.28 is: 112,206.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,973.86 : 200,061.46 = 81,310.28 : x
  2. Step 2: Convert to fraction form
    144,973.86/200,061.46 = 81,310.28/x
  3. Step 3: Cross multiply
    144,973.86x = 200,061.46 × 81,310.28
  4. Step 4: Simplify right side
    144,973.86x = 16,267,053,329.81
  5. Step 5: Solve for x
    x = 16,267,053,329.81/144,973.86
  6. Step 6: Final answer
    x = 112,206.80

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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.