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Finding the Fourth Proportional to 120,103.74, 180,308.70 and 97,960.32

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Solution

The fourth proportional to 120,103.74, 180,308.70 and 97,960.32 is: 147,065.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,103.74 : 180,308.70 = 97,960.32 : x
  2. Step 2: Convert to fraction form
    120,103.74/180,308.70 = 97,960.32/x
  3. Step 3: Cross multiply
    120,103.74x = 180,308.70 × 97,960.32
  4. Step 4: Simplify right side
    120,103.74x = 17,663,097,950.78
  5. Step 5: Solve for x
    x = 17,663,097,950.78/120,103.74
  6. Step 6: Final answer
    x = 147,065.34

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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.