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Finding the Fourth Proportional to 256,818.70, 385,298.93 and 107,129.35

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Solution

The fourth proportional to 256,818.70, 385,298.93 and 107,129.35 is: 160,723.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,818.70 : 385,298.93 = 107,129.35 : x
  2. Step 2: Convert to fraction form
    256,818.70/385,298.93 = 107,129.35/x
  3. Step 3: Cross multiply
    256,818.70x = 385,298.93 × 107,129.35
  4. Step 4: Simplify right side
    256,818.70x = 41,276,823,926.60
  5. Step 5: Solve for x
    x = 41,276,823,926.60/256,818.70
  6. Step 6: Final answer
    x = 160,723.59

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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.