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Finding the Fourth Proportional to 145,535.68, 200,765.75 and 85,066.82

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Solution

The fourth proportional to 145,535.68, 200,765.75 and 85,066.82 is: 117,349.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,535.68 : 200,765.75 = 85,066.82 : x
  2. Step 2: Convert to fraction form
    145,535.68/200,765.75 = 85,066.82/x
  3. Step 3: Cross multiply
    145,535.68x = 200,765.75 × 85,066.82
  4. Step 4: Simplify right side
    145,535.68x = 17,078,503,917.42
  5. Step 5: Solve for x
    x = 17,078,503,917.42/145,535.68
  6. Step 6: Final answer
    x = 117,349.26

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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.