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Finding the Fourth Proportional to 257,135.82, 385,952.52 and 124,109.76

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Solution

The fourth proportional to 257,135.82, 385,952.52 and 124,109.76 is: 186,284.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,135.82 : 385,952.52 = 124,109.76 : x
  2. Step 2: Convert to fraction form
    257,135.82/385,952.52 = 124,109.76/x
  3. Step 3: Cross multiply
    257,135.82x = 385,952.52 × 124,109.76
  4. Step 4: Simplify right side
    257,135.82x = 47,900,474,628.60
  5. Step 5: Solve for x
    x = 47,900,474,628.60/257,135.82
  6. Step 6: Final answer
    x = 186,284.72

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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.