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Finding the Fourth Proportional to 71,482, 98,645.24 and 41,679.76

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Solution

The fourth proportional to 71,482, 98,645.24 and 41,679.76 is: 57,518.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,482 : 98,645.24 = 41,679.76 : x
  2. Step 2: Convert to fraction form
    71,482/98,645.24 = 41,679.76/x
  3. Step 3: Cross multiply
    71,482x = 98,645.24 × 41,679.76
  4. Step 4: Simplify right side
    71,482x = 4,111,509,928.34
  5. Step 5: Solve for x
    x = 4,111,509,928.34/71,482
  6. Step 6: Final answer
    x = 57,518.12

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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.