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Finding the Fourth Proportional to 185,713.69, 255,711.05 and 145,042.11

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Solution

The fourth proportional to 185,713.69, 255,711.05 and 145,042.11 is: 199,709.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,713.69 : 255,711.05 = 145,042.11 : x
  2. Step 2: Convert to fraction form
    185,713.69/255,711.05 = 145,042.11/x
  3. Step 3: Cross multiply
    185,713.69x = 255,711.05 × 145,042.11
  4. Step 4: Simplify right side
    185,713.69x = 37,088,870,242.32
  5. Step 5: Solve for x
    x = 37,088,870,242.32/185,713.69
  6. Step 6: Final answer
    x = 199,709.94

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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.