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Finding the Fourth Proportional to 185,861.46, 256,489.44 and 105,303.90

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Solution

The fourth proportional to 185,861.46, 256,489.44 and 105,303.90 is: 145,319.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,861.46 : 256,489.44 = 105,303.90 : x
  2. Step 2: Convert to fraction form
    185,861.46/256,489.44 = 105,303.90/x
  3. Step 3: Cross multiply
    185,861.46x = 256,489.44 × 105,303.90
  4. Step 4: Simplify right side
    185,861.46x = 27,009,338,340.82
  5. Step 5: Solve for x
    x = 27,009,338,340.82/185,861.46
  6. Step 6: Final answer
    x = 145,319.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.