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Finding the Fourth Proportional to 208,688.76, 287,984.70 and 123,804

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Solution

The fourth proportional to 208,688.76, 287,984.70 and 123,804 is: 170,846.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,688.76 : 287,984.70 = 123,804 : x
  2. Step 2: Convert to fraction form
    208,688.76/287,984.70 = 123,804/x
  3. Step 3: Cross multiply
    208,688.76x = 287,984.70 × 123,804
  4. Step 4: Simplify right side
    208,688.76x = 35,653,657,798.80
  5. Step 5: Solve for x
    x = 35,653,657,798.80/208,688.76
  6. Step 6: Final answer
    x = 170,846.09

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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.