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Finding the Fourth Proportional to 120,071.78, 165,694.74 and 72,315.80

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Solution

The fourth proportional to 120,071.78, 165,694.74 and 72,315.80 is: 99,793.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,071.78 : 165,694.74 = 72,315.80 : x
  2. Step 2: Convert to fraction form
    120,071.78/165,694.74 = 72,315.80/x
  3. Step 3: Cross multiply
    120,071.78x = 165,694.74 × 72,315.80
  4. Step 4: Simplify right side
    120,071.78x = 11,982,347,678.89
  5. Step 5: Solve for x
    x = 11,982,347,678.89/120,071.78
  6. Step 6: Final answer
    x = 99,793.20

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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.