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Finding the Fourth Proportional to 120,342.84, 166,091.52 and 75,028.20

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Solution

The fourth proportional to 120,342.84, 166,091.52 and 75,028.20 is: 103,550.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,342.84 : 166,091.52 = 75,028.20 : x
  2. Step 2: Convert to fraction form
    120,342.84/166,091.52 = 75,028.20/x
  3. Step 3: Cross multiply
    120,342.84x = 166,091.52 × 75,028.20
  4. Step 4: Simplify right side
    120,342.84x = 12,461,547,780.86
  5. Step 5: Solve for x
    x = 12,461,547,780.86/120,342.84
  6. Step 6: Final answer
    x = 103,550.39

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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.