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Finding the Fourth Proportional to 145,645.44, 200,988.48 and 81,983.04

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Solution

The fourth proportional to 145,645.44, 200,988.48 and 81,983.04 is: 113,135.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,645.44 : 200,988.48 = 81,983.04 : x
  2. Step 2: Convert to fraction form
    145,645.44/200,988.48 = 81,983.04/x
  3. Step 3: Cross multiply
    145,645.44x = 200,988.48 × 81,983.04
  4. Step 4: Simplify right side
    145,645.44x = 16,477,646,595.38
  5. Step 5: Solve for x
    x = 16,477,646,595.38/145,645.44
  6. Step 6: Final answer
    x = 113,135.34

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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.