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Finding the Fourth Proportional to 185,534.71, 256,038.65 and 100,652.38

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Solution

The fourth proportional to 185,534.71, 256,038.65 and 100,652.38 is: 138,900.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,534.71 : 256,038.65 = 100,652.38 : x
  2. Step 2: Convert to fraction form
    185,534.71/256,038.65 = 100,652.38/x
  3. Step 3: Cross multiply
    185,534.71x = 256,038.65 × 100,652.38
  4. Step 4: Simplify right side
    185,534.71x = 25,770,899,494.49
  5. Step 5: Solve for x
    x = 25,770,899,494.49/185,534.71
  6. Step 6: Final answer
    x = 138,900.69

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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.