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Finding the Fourth Proportional to 71,587.68, 98,795.28 and 41,378.40

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Solution

The fourth proportional to 71,587.68, 98,795.28 and 41,378.40 is: 57,104.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,587.68 : 98,795.28 = 41,378.40 : x
  2. Step 2: Convert to fraction form
    71,587.68/98,795.28 = 41,378.40/x
  3. Step 3: Cross multiply
    71,587.68x = 98,795.28 × 41,378.40
  4. Step 4: Simplify right side
    71,587.68x = 4,087,990,613.95
  5. Step 5: Solve for x
    x = 4,087,990,613.95/71,587.68
  6. Step 6: Final answer
    x = 57,104.67

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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.