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Finding the Fourth Proportional to 256,069.32, 353,340.54 and 142,870.20

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Solution

The fourth proportional to 256,069.32, 353,340.54 and 142,870.20 is: 197,141.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,069.32 : 353,340.54 = 142,870.20 : x
  2. Step 2: Convert to fraction form
    256,069.32/353,340.54 = 142,870.20/x
  3. Step 3: Cross multiply
    256,069.32x = 353,340.54 × 142,870.20
  4. Step 4: Simplify right side
    256,069.32x = 50,481,833,617.91
  5. Step 5: Solve for x
    x = 50,481,833,617.91/256,069.32
  6. Step 6: Final answer
    x = 197,141.28

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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.