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Finding the Fourth Proportional to 256,989.06, 385,363.63 and 96,941.68

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Solution

The fourth proportional to 256,989.06, 385,363.63 and 96,941.68 is: 145,367.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,989.06 : 385,363.63 = 96,941.68 : x
  2. Step 2: Convert to fraction form
    256,989.06/385,363.63 = 96,941.68/x
  3. Step 3: Cross multiply
    256,989.06x = 385,363.63 × 96,941.68
  4. Step 4: Simplify right side
    256,989.06x = 37,357,797,703.10
  5. Step 5: Solve for x
    x = 37,357,797,703.10/256,989.06
  6. Step 6: Final answer
    x = 145,367.27

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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.