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Finding the Fourth Proportional to 120,208.16, 165,885.84 and 66,488.96

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Solution

The fourth proportional to 120,208.16, 165,885.84 and 66,488.96 is: 91,753.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,208.16 : 165,885.84 = 66,488.96 : x
  2. Step 2: Convert to fraction form
    120,208.16/165,885.84 = 66,488.96/x
  3. Step 3: Cross multiply
    120,208.16x = 165,885.84 × 66,488.96
  4. Step 4: Simplify right side
    120,208.16x = 11,029,576,980.33
  5. Step 5: Solve for x
    x = 11,029,576,980.33/120,208.16
  6. Step 6: Final answer
    x = 91,753.98

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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.