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Finding the Fourth Proportional to 145,164.96, 200,391.12 and 84,712.62

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Solution

The fourth proportional to 145,164.96, 200,391.12 and 84,712.62 is: 116,940.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,164.96 : 200,391.12 = 84,712.62 : x
  2. Step 2: Convert to fraction form
    145,164.96/200,391.12 = 84,712.62/x
  3. Step 3: Cross multiply
    145,164.96x = 200,391.12 × 84,712.62
  4. Step 4: Simplify right side
    145,164.96x = 16,975,656,799.93
  5. Step 5: Solve for x
    x = 16,975,656,799.93/145,164.96
  6. Step 6: Final answer
    x = 116,940.46

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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.