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Finding the Fourth Proportional to 120,652.36, 166,492.74 and 72,877.48

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Solution

The fourth proportional to 120,652.36, 166,492.74 and 72,877.48 is: 100,566.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,652.36 : 166,492.74 = 72,877.48 : x
  2. Step 2: Convert to fraction form
    120,652.36/166,492.74 = 72,877.48/x
  3. Step 3: Cross multiply
    120,652.36x = 166,492.74 × 72,877.48
  4. Step 4: Simplify right side
    120,652.36x = 12,133,571,329.50
  5. Step 5: Solve for x
    x = 12,133,571,329.50/120,652.36
  6. Step 6: Final answer
    x = 100,566.38

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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.