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Finding the Fourth Proportional to 256,871.70, 385,307.55 and 90,638.10

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Solution

The fourth proportional to 256,871.70, 385,307.55 and 90,638.10 is: 135,957.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,871.70 : 385,307.55 = 90,638.10 : x
  2. Step 2: Convert to fraction form
    256,871.70/385,307.55 = 90,638.10/x
  3. Step 3: Cross multiply
    256,871.70x = 385,307.55 × 90,638.10
  4. Step 4: Simplify right side
    256,871.70x = 34,923,544,247.66
  5. Step 5: Solve for x
    x = 34,923,544,247.66/256,871.70
  6. Step 6: Final answer
    x = 135,957.15

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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.