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Finding the Fourth Proportional to 120,078.17, 180,114.15 and 39,024.74

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Solution

The fourth proportional to 120,078.17, 180,114.15 and 39,024.74 is: 58,536.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,078.17 : 180,114.15 = 39,024.74 : x
  2. Step 2: Convert to fraction form
    120,078.17/180,114.15 = 39,024.74/x
  3. Step 3: Cross multiply
    120,078.17x = 180,114.15 × 39,024.74
  4. Step 4: Simplify right side
    120,078.17x = 7,028,907,624.88
  5. Step 5: Solve for x
    x = 7,028,907,624.88/120,078.17
  6. Step 6: Final answer
    x = 58,536.10

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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.