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Finding the Fourth Proportional to 208,062.32, 287,125.89 and 117,437.30

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Solution

The fourth proportional to 208,062.32, 287,125.89 and 117,437.30 is: 162,063.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,062.32 : 287,125.89 = 117,437.30 : x
  2. Step 2: Convert to fraction form
    208,062.32/287,125.89 = 117,437.30/x
  3. Step 3: Cross multiply
    208,062.32x = 287,125.89 × 117,437.30
  4. Step 4: Simplify right side
    208,062.32x = 33,719,287,846.07
  5. Step 5: Solve for x
    x = 33,719,287,846.07/208,062.32
  6. Step 6: Final answer
    x = 162,063.41

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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.