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Finding the Fourth Proportional to 120,646.88, 166,492.90 and 66,931.90

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Solution

The fourth proportional to 120,646.88, 166,492.90 and 66,931.90 is: 92,366.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,646.88 : 166,492.90 = 66,931.90 : x
  2. Step 2: Convert to fraction form
    120,646.88/166,492.90 = 66,931.90/x
  3. Step 3: Cross multiply
    120,646.88x = 166,492.90 × 66,931.90
  4. Step 4: Simplify right side
    120,646.88x = 11,143,686,133.51
  5. Step 5: Solve for x
    x = 11,143,686,133.51/120,646.88
  6. Step 6: Final answer
    x = 92,366.14

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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.