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Finding the Fourth Proportional to 185,355.96, 255,791.08 and 100,473

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Solution

The fourth proportional to 185,355.96, 255,791.08 and 100,473 is: 138,652.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,355.96 : 255,791.08 = 100,473 : x
  2. Step 2: Convert to fraction form
    185,355.96/255,791.08 = 100,473/x
  3. Step 3: Cross multiply
    185,355.96x = 255,791.08 × 100,473
  4. Step 4: Simplify right side
    185,355.96x = 25,700,097,180.84
  5. Step 5: Solve for x
    x = 25,700,097,180.84/185,355.96
  6. Step 6: Final answer
    x = 138,652.66

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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.