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Finding the Fourth Proportional to 256,095.40, 384,143.10 and 89,900.20

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Solution

The fourth proportional to 256,095.40, 384,143.10 and 89,900.20 is: 134,850.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,095.40 : 384,143.10 = 89,900.20 : x
  2. Step 2: Convert to fraction form
    256,095.40/384,143.10 = 89,900.20/x
  3. Step 3: Cross multiply
    256,095.40x = 384,143.10 × 89,900.20
  4. Step 4: Simplify right side
    256,095.40x = 34,534,541,518.62
  5. Step 5: Solve for x
    x = 34,534,541,518.62/256,095.40
  6. Step 6: Final answer
    x = 134,850.30

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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.