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Finding the Fourth Proportional to 186,138.88, 256,871.46 and 101,255.74

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Solution

The fourth proportional to 186,138.88, 256,871.46 and 101,255.74 is: 139,732.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,138.88 : 256,871.46 = 101,255.74 : x
  2. Step 2: Convert to fraction form
    186,138.88/256,871.46 = 101,255.74/x
  3. Step 3: Cross multiply
    186,138.88x = 256,871.46 × 101,255.74
  4. Step 4: Simplify right side
    186,138.88x = 26,009,709,767.18
  5. Step 5: Solve for x
    x = 26,009,709,767.18/186,138.88
  6. Step 6: Final answer
    x = 139,732.82

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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.