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Finding the Fourth Proportional to 120,476.68, 166,203.30 and 72,714.76

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Solution

The fourth proportional to 120,476.68, 166,203.30 and 72,714.76 is: 100,313.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,476.68 : 166,203.30 = 72,714.76 : x
  2. Step 2: Convert to fraction form
    120,476.68/166,203.30 = 72,714.76/x
  3. Step 3: Cross multiply
    120,476.68x = 166,203.30 × 72,714.76
  4. Step 4: Simplify right side
    120,476.68x = 12,085,433,070.71
  5. Step 5: Solve for x
    x = 12,085,433,070.71/120,476.68
  6. Step 6: Final answer
    x = 100,313.46

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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.