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Finding the Fourth Proportional to 256,643.82, 384,935.67 and 98,761.86

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Solution

The fourth proportional to 256,643.82, 384,935.67 and 98,761.86 is: 148,131.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,643.82 : 384,935.67 = 98,761.86 : x
  2. Step 2: Convert to fraction form
    256,643.82/384,935.67 = 98,761.86/x
  3. Step 3: Cross multiply
    256,643.82x = 384,935.67 × 98,761.86
  4. Step 4: Simplify right side
    256,643.82x = 38,016,962,749.55
  5. Step 5: Solve for x
    x = 38,016,962,749.55/256,643.82
  6. Step 6: Final answer
    x = 148,131.22

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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.