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Finding the Fourth Proportional to 257,178.42, 385,580.70 and 107,461.56

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Solution

The fourth proportional to 257,178.42, 385,580.70 and 107,461.56 is: 161,114.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,178.42 : 385,580.70 = 107,461.56 : x
  2. Step 2: Convert to fraction form
    257,178.42/385,580.70 = 107,461.56/x
  3. Step 3: Cross multiply
    257,178.42x = 385,580.70 × 107,461.56
  4. Step 4: Simplify right side
    257,178.42x = 41,435,103,527.89
  5. Step 5: Solve for x
    x = 41,435,103,527.89/257,178.42
  6. Step 6: Final answer
    x = 161,114.23

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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.