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Finding the Fourth Proportional to 185,538.32, 256,042.98 and 100,655.38

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Solution

The fourth proportional to 185,538.32, 256,042.98 and 100,655.38 is: 138,904.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,538.32 : 256,042.98 = 100,655.38 : x
  2. Step 2: Convert to fraction form
    185,538.32/256,042.98 = 100,655.38/x
  3. Step 3: Cross multiply
    185,538.32x = 256,042.98 × 100,655.38
  4. Step 4: Simplify right side
    185,538.32x = 25,772,102,168.02
  5. Step 5: Solve for x
    x = 25,772,102,168.02/185,538.32
  6. Step 6: Final answer
    x = 138,904.47

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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.