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Finding the Fourth Proportional to 257,145, 385,966.89 and 124,118.97

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Solution

The fourth proportional to 257,145, 385,966.89 and 124,118.97 is: 186,298.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,145 : 385,966.89 = 124,118.97 : x
  2. Step 2: Convert to fraction form
    257,145/385,966.89 = 124,118.97/x
  3. Step 3: Cross multiply
    257,145x = 385,966.89 × 124,118.97
  4. Step 4: Simplify right side
    257,145x = 47,905,812,840.90
  5. Step 5: Solve for x
    x = 47,905,812,840.90/257,145
  6. Step 6: Final answer
    x = 186,298.83

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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.