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Finding the Fourth Proportional to 208,267.52, 287,437.44 and 127,742.72

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Solution

The fourth proportional to 208,267.52, 287,437.44 and 127,742.72 is: 176,302.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,267.52 : 287,437.44 = 127,742.72 : x
  2. Step 2: Convert to fraction form
    208,267.52/287,437.44 = 127,742.72/x
  3. Step 3: Cross multiply
    208,267.52x = 287,437.44 × 127,742.72
  4. Step 4: Simplify right side
    208,267.52x = 36,718,040,415.44
  5. Step 5: Solve for x
    x = 36,718,040,415.44/208,267.52
  6. Step 6: Final answer
    x = 176,302.29

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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.