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Finding the Fourth Proportional to 256,810.42, 385,140.40 and 96,770.89

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Solution

The fourth proportional to 256,810.42, 385,140.40 and 96,770.89 is: 145,127.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,810.42 : 385,140.40 = 96,770.89 : x
  2. Step 2: Convert to fraction form
    256,810.42/385,140.40 = 96,770.89/x
  3. Step 3: Cross multiply
    256,810.42x = 385,140.40 × 96,770.89
  4. Step 4: Simplify right side
    256,810.42x = 37,270,379,282.96
  5. Step 5: Solve for x
    x = 37,270,379,282.96/256,810.42
  6. Step 6: Final answer
    x = 145,127.99

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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.