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Finding the Fourth Proportional to 145,538.75, 200,769.98 and 85,069.89

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Solution

The fourth proportional to 145,538.75, 200,769.98 and 85,069.89 is: 117,353.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,538.75 : 200,769.98 = 85,069.89 : x
  2. Step 2: Convert to fraction form
    145,538.75/200,769.98 = 85,069.89/x
  3. Step 3: Cross multiply
    145,538.75x = 200,769.98 × 85,069.89
  4. Step 4: Simplify right side
    145,538.75x = 17,079,479,688.55
  5. Step 5: Solve for x
    x = 17,079,479,688.55/145,538.75
  6. Step 6: Final answer
    x = 117,353.48

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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.