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Finding the Fourth Proportional to 208,119.72, 287,134.86 and 135,489.36

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Solution

The fourth proportional to 208,119.72, 287,134.86 and 135,489.36 is: 186,929.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,119.72 : 287,134.86 = 135,489.36 : x
  2. Step 2: Convert to fraction form
    208,119.72/287,134.86 = 135,489.36/x
  3. Step 3: Cross multiply
    208,119.72x = 287,134.86 × 135,489.36
  4. Step 4: Simplify right side
    208,119.72x = 38,903,718,415.09
  5. Step 5: Solve for x
    x = 38,903,718,415.09/208,119.72
  6. Step 6: Final answer
    x = 186,929.52

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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.