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Finding the Fourth Proportional to 257,702.64, 386,159.45 and 107,861.37

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Solution

The fourth proportional to 257,702.64, 386,159.45 and 107,861.37 is: 161,626.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,702.64 : 386,159.45 = 107,861.37 : x
  2. Step 2: Convert to fraction form
    257,702.64/386,159.45 = 107,861.37/x
  3. Step 3: Cross multiply
    257,702.64x = 386,159.45 × 107,861.37
  4. Step 4: Simplify right side
    257,702.64x = 41,651,686,776.14
  5. Step 5: Solve for x
    x = 41,651,686,776.14/257,702.64
  6. Step 6: Final answer
    x = 161,626.93

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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.