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Finding the Fourth Proportional to 76,147.56, 105,082.92 and 42,613.56

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Solution

The fourth proportional to 76,147.56, 105,082.92 and 42,613.56 is: 58,806.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,147.56 : 105,082.92 = 42,613.56 : x
  2. Step 2: Convert to fraction form
    76,147.56/105,082.92 = 42,613.56/x
  3. Step 3: Cross multiply
    76,147.56x = 105,082.92 × 42,613.56
  4. Step 4: Simplify right side
    76,147.56x = 4,477,957,316.40
  5. Step 5: Solve for x
    x = 4,477,957,316.40/76,147.56
  6. Step 6: Final answer
    x = 58,806.31

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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.