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Finding the Fourth Proportional to 257,565.30, 386,384.40 and 80,053.80

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Solution

The fourth proportional to 257,565.30, 386,384.40 and 80,053.80 is: 120,092.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,565.30 : 386,384.40 = 80,053.80 : x
  2. Step 2: Convert to fraction form
    257,565.30/386,384.40 = 80,053.80/x
  3. Step 3: Cross multiply
    257,565.30x = 386,384.40 × 80,053.80
  4. Step 4: Simplify right side
    257,565.30x = 30,931,539,480.72
  5. Step 5: Solve for x
    x = 30,931,539,480.72/257,565.30
  6. Step 6: Final answer
    x = 120,092.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.