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Finding the Fourth Proportional to 208,975.96, 288,537.06 and 128,511.64

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Solution

The fourth proportional to 208,975.96, 288,537.06 and 128,511.64 is: 177,438.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,975.96 : 288,537.06 = 128,511.64 : x
  2. Step 2: Convert to fraction form
    208,975.96/288,537.06 = 128,511.64/x
  3. Step 3: Cross multiply
    208,975.96x = 288,537.06 × 128,511.64
  4. Step 4: Simplify right side
    208,975.96x = 37,080,370,781.38
  5. Step 5: Solve for x
    x = 37,080,370,781.38/208,975.96
  6. Step 6: Final answer
    x = 177,438.45

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1.5x scale

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.