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Finding the Fourth Proportional to 86,436, 119,281.68 and 46,692

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Solution

The fourth proportional to 86,436, 119,281.68 and 46,692 is: 64,434.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,436 : 119,281.68 = 46,692 : x
  2. Step 2: Convert to fraction form
    86,436/119,281.68 = 46,692/x
  3. Step 3: Cross multiply
    86,436x = 119,281.68 × 46,692
  4. Step 4: Simplify right side
    86,436x = 5,569,500,202.56
  5. Step 5: Solve for x
    x = 5,569,500,202.56/86,436
  6. Step 6: Final answer
    x = 64,434.96

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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.