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Finding the Fourth Proportional to 257,702.69, 386,459.26 and 89,179.76

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Solution

The fourth proportional to 257,702.69, 386,459.26 and 89,179.76 is: 133,736.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,702.69 : 386,459.26 = 89,179.76 : x
  2. Step 2: Convert to fraction form
    257,702.69/386,459.26 = 89,179.76/x
  3. Step 3: Cross multiply
    257,702.69x = 386,459.26 × 89,179.76
  4. Step 4: Simplify right side
    257,702.69x = 34,464,344,056.58
  5. Step 5: Solve for x
    x = 34,464,344,056.58/257,702.69
  6. Step 6: Final answer
    x = 133,736.84

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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.