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Finding the Fourth Proportional to 208,340.91, 287,363.70 and 127,807.47

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Solution

The fourth proportional to 208,340.91, 287,363.70 and 127,807.47 is: 176,284.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,340.91 : 287,363.70 = 127,807.47 : x
  2. Step 2: Convert to fraction form
    208,340.91/287,363.70 = 127,807.47/x
  3. Step 3: Cross multiply
    208,340.91x = 287,363.70 × 127,807.47
  4. Step 4: Simplify right side
    208,340.91x = 36,727,227,466.84
  5. Step 5: Solve for x
    x = 36,727,227,466.84/208,340.91
  6. Step 6: Final answer
    x = 176,284.28

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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.