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Finding the Fourth Proportional to 120,070.54, 180,105.82 and 45,207.48

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Solution

The fourth proportional to 120,070.54, 180,105.82 and 45,207.48 is: 67,811.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,070.54 : 180,105.82 = 45,207.48 : x
  2. Step 2: Convert to fraction form
    120,070.54/180,105.82 = 45,207.48/x
  3. Step 3: Cross multiply
    120,070.54x = 180,105.82 × 45,207.48
  4. Step 4: Simplify right side
    120,070.54x = 8,142,130,029.50
  5. Step 5: Solve for x
    x = 8,142,130,029.50/120,070.54
  6. Step 6: Final answer
    x = 67,811.22

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1.5x scale

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.