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Finding the Fourth Proportional to 86,352.96, 129,261.12 and 46,812

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Solution

The fourth proportional to 86,352.96, 129,261.12 and 46,812 is: 70,072.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,352.96 : 129,261.12 = 46,812 : x
  2. Step 2: Convert to fraction form
    86,352.96/129,261.12 = 46,812/x
  3. Step 3: Cross multiply
    86,352.96x = 129,261.12 × 46,812
  4. Step 4: Simplify right side
    86,352.96x = 6,050,971,549.44
  5. Step 5: Solve for x
    x = 6,050,971,549.44/86,352.96
  6. Step 6: Final answer
    x = 70,072.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.