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Finding the Fourth Proportional to 208,509.49, 287,739.98 and 117,862.28

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Solution

The fourth proportional to 208,509.49, 287,739.98 and 117,862.28 is: 162,648.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,509.49 : 287,739.98 = 117,862.28 : x
  2. Step 2: Convert to fraction form
    208,509.49/287,739.98 = 117,862.28/x
  3. Step 3: Cross multiply
    208,509.49x = 287,739.98 × 117,862.28
  4. Step 4: Simplify right side
    208,509.49x = 33,913,688,651.25
  5. Step 5: Solve for x
    x = 33,913,688,651.25/208,509.49
  6. Step 6: Final answer
    x = 162,648.18

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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.