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Finding the Fourth Proportional to 257,990.16, 386,987.64 and 78,076.88

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Solution

The fourth proportional to 257,990.16, 386,987.64 and 78,076.88 is: 117,116.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,990.16 : 386,987.64 = 78,076.88 : x
  2. Step 2: Convert to fraction form
    257,990.16/386,987.64 = 78,076.88/x
  3. Step 3: Cross multiply
    257,990.16x = 386,987.64 × 78,076.88
  4. Step 4: Simplify right side
    257,990.16x = 30,214,787,529.76
  5. Step 5: Solve for x
    x = 30,214,787,529.76/257,990.16
  6. Step 6: Final answer
    x = 117,116.05

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1.5x scale

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.