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Finding the Fourth Proportional to 120,573.51, 166,290.21 and 77,560.08

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Solution

The fourth proportional to 120,573.51, 166,290.21 and 77,560.08 is: 106,967.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,573.51 : 166,290.21 = 77,560.08 : x
  2. Step 2: Convert to fraction form
    120,573.51/166,290.21 = 77,560.08/x
  3. Step 3: Cross multiply
    120,573.51x = 166,290.21 × 77,560.08
  4. Step 4: Simplify right side
    120,573.51x = 12,897,481,990.82
  5. Step 5: Solve for x
    x = 12,897,481,990.82/120,573.51
  6. Step 6: Final answer
    x = 106,967.79

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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.