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Finding the Fourth Proportional to 208,427.78, 287,635.67 and 127,899.81

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Solution

The fourth proportional to 208,427.78, 287,635.67 and 127,899.81 is: 176,505.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,427.78 : 287,635.67 = 127,899.81 : x
  2. Step 2: Convert to fraction form
    208,427.78/287,635.67 = 127,899.81/x
  3. Step 3: Cross multiply
    208,427.78x = 287,635.67 × 127,899.81
  4. Step 4: Simplify right side
    208,427.78x = 36,788,547,382.35
  5. Step 5: Solve for x
    x = 36,788,547,382.35/208,427.78
  6. Step 6: Final answer
    x = 176,505.01

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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.