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Finding the Fourth Proportional to 257,106.76, 385,909.58 and 124,080.68

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Solution

The fourth proportional to 257,106.76, 385,909.58 and 124,080.68 is: 186,241.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,106.76 : 385,909.58 = 124,080.68 : x
  2. Step 2: Convert to fraction form
    257,106.76/385,909.58 = 124,080.68/x
  3. Step 3: Cross multiply
    257,106.76x = 385,909.58 × 124,080.68
  4. Step 4: Simplify right side
    257,106.76x = 47,883,923,104.91
  5. Step 5: Solve for x
    x = 47,883,923,104.91/257,106.76
  6. Step 6: Final answer
    x = 186,241.40

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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.