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Finding the Fourth Proportional to 256,047.76, 384,117.12 and 87,586.72

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Solution

The fourth proportional to 256,047.76, 384,117.12 and 87,586.72 is: 131,395.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,047.76 : 384,117.12 = 87,586.72 : x
  2. Step 2: Convert to fraction form
    256,047.76/384,117.12 = 87,586.72/x
  3. Step 3: Cross multiply
    256,047.76x = 384,117.12 × 87,586.72
  4. Step 4: Simplify right side
    256,047.76x = 33,643,558,636.65
  5. Step 5: Solve for x
    x = 33,643,558,636.65/256,047.76
  6. Step 6: Final answer
    x = 131,395.64

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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.