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Finding the Fourth Proportional to 185,315.64, 255,736.47 and 100,432.68

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Solution

The fourth proportional to 185,315.64, 255,736.47 and 100,432.68 is: 138,597.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,315.64 : 255,736.47 = 100,432.68 : x
  2. Step 2: Convert to fraction form
    185,315.64/255,736.47 = 100,432.68/x
  3. Step 3: Cross multiply
    185,315.64x = 255,736.47 × 100,432.68
  4. Step 4: Simplify right side
    185,315.64x = 25,684,299,055.84
  5. Step 5: Solve for x
    x = 25,684,299,055.84/185,315.64
  6. Step 6: Final answer
    x = 138,597.58

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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.