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Finding the Fourth Proportional to 120,462, 166,237.56 and 67,470

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Solution

The fourth proportional to 120,462, 166,237.56 and 67,470 is: 93,108.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,462 : 166,237.56 = 67,470 : x
  2. Step 2: Convert to fraction form
    120,462/166,237.56 = 67,470/x
  3. Step 3: Cross multiply
    120,462x = 166,237.56 × 67,470
  4. Step 4: Simplify right side
    120,462x = 11,216,048,173.20
  5. Step 5: Solve for x
    x = 11,216,048,173.20/120,462
  6. Step 6: Final answer
    x = 93,108.60

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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.