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Finding the Fourth Proportional to 256,957.92, 385,409.22 and 67,437.28

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Solution

The fourth proportional to 256,957.92, 385,409.22 and 67,437.28 is: 101,148.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,957.92 : 385,409.22 = 67,437.28 : x
  2. Step 2: Convert to fraction form
    256,957.92/385,409.22 = 67,437.28/x
  3. Step 3: Cross multiply
    256,957.92x = 385,409.22 × 67,437.28
  4. Step 4: Simplify right side
    256,957.92x = 25,990,949,483.72
  5. Step 5: Solve for x
    x = 25,990,949,483.72/256,957.92
  6. Step 6: Final answer
    x = 101,148.66

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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.