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Finding the Fourth Proportional to 256,641.04, 385,027.16 and 106,831.52

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Solution

The fourth proportional to 256,641.04, 385,027.16 and 106,831.52 is: 160,274.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,641.04 : 385,027.16 = 106,831.52 : x
  2. Step 2: Convert to fraction form
    256,641.04/385,027.16 = 106,831.52/x
  3. Step 3: Cross multiply
    256,641.04x = 385,027.16 × 106,831.52
  4. Step 4: Simplify right side
    256,641.04x = 41,133,036,744.08
  5. Step 5: Solve for x
    x = 41,133,036,744.08/256,641.04
  6. Step 6: Final answer
    x = 160,274.59

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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.