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Finding the Fourth Proportional to 208,332, 287,537.04 and 118,908

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Solution

The fourth proportional to 208,332, 287,537.04 and 118,908 is: 164,115.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,332 : 287,537.04 = 118,908 : x
  2. Step 2: Convert to fraction form
    208,332/287,537.04 = 118,908/x
  3. Step 3: Cross multiply
    208,332x = 287,537.04 × 118,908
  4. Step 4: Simplify right side
    208,332x = 34,190,454,352.32
  5. Step 5: Solve for x
    x = 34,190,454,352.32/208,332
  6. Step 6: Final answer
    x = 164,115.23

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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.