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Finding the Fourth Proportional to 256,073.32, 353,348.58 and 142,900.84

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Solution

The fourth proportional to 256,073.32, 353,348.58 and 142,900.84 is: 197,184.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,073.32 : 353,348.58 = 142,900.84 : x
  2. Step 2: Convert to fraction form
    256,073.32/353,348.58 = 142,900.84/x
  3. Step 3: Cross multiply
    256,073.32x = 353,348.58 × 142,900.84
  4. Step 4: Simplify right side
    256,073.32x = 50,493,808,894.81
  5. Step 5: Solve for x
    x = 50,493,808,894.81/256,073.32
  6. Step 6: Final answer
    x = 197,184.97

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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.