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Finding the Fourth Proportional to 144,762.97, 199,783.97 and 83,520.13

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Solution

The fourth proportional to 144,762.97, 199,783.97 and 83,520.13 is: 115,264.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,762.97 : 199,783.97 = 83,520.13 : x
  2. Step 2: Convert to fraction form
    144,762.97/199,783.97 = 83,520.13/x
  3. Step 3: Cross multiply
    144,762.97x = 199,783.97 × 83,520.13
  4. Step 4: Simplify right side
    144,762.97x = 16,685,981,729.80
  5. Step 5: Solve for x
    x = 16,685,981,729.80/144,762.97
  6. Step 6: Final answer
    x = 115,264.16

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1.5x scale

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.