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Finding the Fourth Proportional to 257,136.32, 354,730.28 and 166,521.48

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Solution

The fourth proportional to 257,136.32, 354,730.28 and 166,521.48 is: 229,723.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,136.32 : 354,730.28 = 166,521.48 : x
  2. Step 2: Convert to fraction form
    257,136.32/354,730.28 = 166,521.48/x
  3. Step 3: Cross multiply
    257,136.32x = 354,730.28 × 166,521.48
  4. Step 4: Simplify right side
    257,136.32x = 59,070,211,226.41
  5. Step 5: Solve for x
    x = 59,070,211,226.41/257,136.32
  6. Step 6: Final answer
    x = 229,723.33

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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.