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Finding the Fourth Proportional to 256,090.68, 353,390.85 and 142,920.72

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Solution

The fourth proportional to 256,090.68, 353,390.85 and 142,920.72 is: 197,222.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,090.68 : 353,390.85 = 142,920.72 : x
  2. Step 2: Convert to fraction form
    256,090.68/353,390.85 = 142,920.72/x
  3. Step 3: Cross multiply
    256,090.68x = 353,390.85 × 142,920.72
  4. Step 4: Simplify right side
    256,090.68x = 50,506,874,723.41
  5. Step 5: Solve for x
    x = 50,506,874,723.41/256,090.68
  6. Step 6: Final answer
    x = 197,222.62

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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.