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Finding the Fourth Proportional to 208,567.50, 287,801.60 and 127,998.42

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Solution

The fourth proportional to 208,567.50, 287,801.60 and 127,998.42 is: 176,624.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,567.50 : 287,801.60 = 127,998.42 : x
  2. Step 2: Convert to fraction form
    208,567.50/287,801.60 = 127,998.42/x
  3. Step 3: Cross multiply
    208,567.50x = 287,801.60 × 127,998.42
  4. Step 4: Simplify right side
    208,567.50x = 36,838,150,073.47
  5. Step 5: Solve for x
    x = 36,838,150,073.47/208,567.50
  6. Step 6: Final answer
    x = 176,624.59

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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.