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Finding the Fourth Proportional to 185,780.45, 256,422.92 and 105,255.45

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Solution

The fourth proportional to 185,780.45, 256,422.92 and 105,255.45 is: 145,278.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,780.45 : 256,422.92 = 105,255.45 : x
  2. Step 2: Convert to fraction form
    185,780.45/256,422.92 = 105,255.45/x
  3. Step 3: Cross multiply
    185,780.45x = 256,422.92 × 105,255.45
  4. Step 4: Simplify right side
    185,780.45x = 26,989,909,308.64
  5. Step 5: Solve for x
    x = 26,989,909,308.64/185,780.45
  6. Step 6: Final answer
    x = 145,278.52

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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.