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Finding the Fourth Proportional to 71,609.32, 98,813.28 and 41,389.84

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Solution

The fourth proportional to 71,609.32, 98,813.28 and 41,389.84 is: 57,113.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,609.32 : 98,813.28 = 41,389.84 : x
  2. Step 2: Convert to fraction form
    71,609.32/98,813.28 = 41,389.84/x
  3. Step 3: Cross multiply
    71,609.32x = 98,813.28 × 41,389.84
  4. Step 4: Simplify right side
    71,609.32x = 4,089,865,849.08
  5. Step 5: Solve for x
    x = 4,089,865,849.08/71,609.32
  6. Step 6: Final answer
    x = 57,113.60

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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.