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Finding the Fourth Proportional to 120,906.60, 181,316.70 and 42,023.40

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Solution

The fourth proportional to 120,906.60, 181,316.70 and 42,023.40 is: 63,020.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,906.60 : 181,316.70 = 42,023.40 : x
  2. Step 2: Convert to fraction form
    120,906.60/181,316.70 = 42,023.40/x
  3. Step 3: Cross multiply
    120,906.60x = 181,316.70 × 42,023.40
  4. Step 4: Simplify right side
    120,906.60x = 7,619,544,210.78
  5. Step 5: Solve for x
    x = 7,619,544,210.78/120,906.60
  6. Step 6: Final answer
    x = 63,020.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.