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Finding the Fourth Proportional to 145,717.69, 201,085 and 81,185.41

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Solution

The fourth proportional to 145,717.69, 201,085 and 81,185.41 is: 112,032.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,717.69 : 201,085 = 81,185.41 : x
  2. Step 2: Convert to fraction form
    145,717.69/201,085 = 81,185.41/x
  3. Step 3: Cross multiply
    145,717.69x = 201,085 × 81,185.41
  4. Step 4: Simplify right side
    145,717.69x = 16,325,168,169.85
  5. Step 5: Solve for x
    x = 16,325,168,169.85/145,717.69
  6. Step 6: Final answer
    x = 112,032.85

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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.