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Finding the Fourth Proportional to 256,160, 384,242.16 and 89,948

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Solution

The fourth proportional to 256,160, 384,242.16 and 89,948 is: 134,922.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,160 : 384,242.16 = 89,948 : x
  2. Step 2: Convert to fraction form
    256,160/384,242.16 = 89,948/x
  3. Step 3: Cross multiply
    256,160x = 384,242.16 × 89,948
  4. Step 4: Simplify right side
    256,160x = 34,561,813,807.68
  5. Step 5: Solve for x
    x = 34,561,813,807.68/256,160
  6. Step 6: Final answer
    x = 134,922.76

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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.