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Finding the Fourth Proportional to 256,121.90, 384,159.80 and 89,899.82

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Solution

The fourth proportional to 256,121.90, 384,159.80 and 89,899.82 is: 134,841.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,121.90 : 384,159.80 = 89,899.82 : x
  2. Step 2: Convert to fraction form
    256,121.90/384,159.80 = 89,899.82/x
  3. Step 3: Cross multiply
    256,121.90x = 384,159.80 × 89,899.82
  4. Step 4: Simplify right side
    256,121.90x = 34,535,896,871.24
  5. Step 5: Solve for x
    x = 34,535,896,871.24/256,121.90
  6. Step 6: Final answer
    x = 134,841.64

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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.