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Finding the Fourth Proportional to 256,099.68, 353,430.16 and 142,920.16

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Solution

The fourth proportional to 256,099.68, 353,430.16 and 142,920.16 is: 197,236.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,099.68 : 353,430.16 = 142,920.16 : x
  2. Step 2: Convert to fraction form
    256,099.68/353,430.16 = 142,920.16/x
  3. Step 3: Cross multiply
    256,099.68x = 353,430.16 × 142,920.16
  4. Step 4: Simplify right side
    256,099.68x = 50,512,295,016.03
  5. Step 5: Solve for x
    x = 50,512,295,016.03/256,099.68
  6. Step 6: Final answer
    x = 197,236.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.