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Finding the Fourth Proportional to 185,618, 256,153.02 and 100,735.08

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Solution

The fourth proportional to 185,618, 256,153.02 and 100,735.08 is: 139,014.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,618 : 256,153.02 = 100,735.08 : x
  2. Step 2: Convert to fraction form
    185,618/256,153.02 = 100,735.08/x
  3. Step 3: Cross multiply
    185,618x = 256,153.02 × 100,735.08
  4. Step 4: Simplify right side
    185,618x = 25,803,594,961.94
  5. Step 5: Solve for x
    x = 25,803,594,961.94/185,618
  6. Step 6: Final answer
    x = 139,014.51

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1.5x scale

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.