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Finding the Fourth Proportional to 120,156.16, 165,808.78 and 66,437.98

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Solution

The fourth proportional to 120,156.16, 165,808.78 and 66,437.98 is: 91,680.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,156.16 : 165,808.78 = 66,437.98 : x
  2. Step 2: Convert to fraction form
    120,156.16/165,808.78 = 66,437.98/x
  3. Step 3: Cross multiply
    120,156.16x = 165,808.78 × 66,437.98
  4. Step 4: Simplify right side
    120,156.16x = 11,016,000,409.46
  5. Step 5: Solve for x
    x = 11,016,000,409.46/120,156.16
  6. Step 6: Final answer
    x = 91,680.70

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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.