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Finding the Fourth Proportional to 128,904.30, 193,356.45 and 120,156.30

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Solution

The fourth proportional to 128,904.30, 193,356.45 and 120,156.30 is: 180,234.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,904.30 : 193,356.45 = 120,156.30 : x
  2. Step 2: Convert to fraction form
    128,904.30/193,356.45 = 120,156.30/x
  3. Step 3: Cross multiply
    128,904.30x = 193,356.45 × 120,156.30
  4. Step 4: Simplify right side
    128,904.30x = 23,232,995,613.14
  5. Step 5: Solve for x
    x = 23,232,995,613.14/128,904.30
  6. Step 6: Final answer
    x = 180,234.45

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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.