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Finding the Fourth Proportional to 71,352, 107,019.46 and 18,765.58

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Solution

The fourth proportional to 71,352, 107,019.46 and 18,765.58 is: 28,146.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,352 : 107,019.46 = 18,765.58 : x
  2. Step 2: Convert to fraction form
    71,352/107,019.46 = 18,765.58/x
  3. Step 3: Cross multiply
    71,352x = 107,019.46 × 18,765.58
  4. Step 4: Simplify right side
    71,352x = 2,008,282,238.19
  5. Step 5: Solve for x
    x = 2,008,282,238.19/71,352
  6. Step 6: Final answer
    x = 28,146.12

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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.