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Finding the Fourth Proportional to 256,902.66, 385,353.99 and 69,914.16

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Solution

The fourth proportional to 256,902.66, 385,353.99 and 69,914.16 is: 104,871.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,902.66 : 385,353.99 = 69,914.16 : x
  2. Step 2: Convert to fraction form
    256,902.66/385,353.99 = 69,914.16/x
  3. Step 3: Cross multiply
    256,902.66x = 385,353.99 × 69,914.16
  4. Step 4: Simplify right side
    256,902.66x = 26,941,700,513.50
  5. Step 5: Solve for x
    x = 26,941,700,513.50/256,902.66
  6. Step 6: Final answer
    x = 104,871.24

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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.