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Finding the Fourth Proportional to 185,712.69, 255,709.68 and 145,041.11

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Solution

The fourth proportional to 185,712.69, 255,709.68 and 145,041.11 is: 199,708.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,712.69 : 255,709.68 = 145,041.11 : x
  2. Step 2: Convert to fraction form
    185,712.69/255,709.68 = 145,041.11/x
  3. Step 3: Cross multiply
    185,712.69x = 255,709.68 × 145,041.11
  4. Step 4: Simplify right side
    185,712.69x = 37,088,414,961.40
  5. Step 5: Solve for x
    x = 37,088,414,961.40/185,712.69
  6. Step 6: Final answer
    x = 199,708.56

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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.