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Finding the Fourth Proportional to 120,477.14, 166,262.76 and 72,721.16

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Solution

The fourth proportional to 120,477.14, 166,262.76 and 72,721.16 is: 100,357.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,477.14 : 166,262.76 = 72,721.16 : x
  2. Step 2: Convert to fraction form
    120,477.14/166,262.76 = 72,721.16/x
  3. Step 3: Cross multiply
    120,477.14x = 166,262.76 × 72,721.16
  4. Step 4: Simplify right side
    120,477.14x = 12,090,820,772.00
  5. Step 5: Solve for x
    x = 12,090,820,772.00/120,477.14
  6. Step 6: Final answer
    x = 100,357.80

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1.5x scale

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.