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Finding the Fourth Proportional to 255,702.64, 352,871.28 and 142,532.56

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Solution

The fourth proportional to 255,702.64, 352,871.28 and 142,532.56 is: 196,695.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,702.64 : 352,871.28 = 142,532.56 : x
  2. Step 2: Convert to fraction form
    255,702.64/352,871.28 = 142,532.56/x
  3. Step 3: Cross multiply
    255,702.64x = 352,871.28 × 142,532.56
  4. Step 4: Simplify right side
    255,702.64x = 50,295,646,888.88
  5. Step 5: Solve for x
    x = 50,295,646,888.88/255,702.64
  6. Step 6: Final answer
    x = 196,695.85

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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.