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Finding the Fourth Proportional to 137,097.60, 205,646.40 and 81,801.60

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Solution

The fourth proportional to 137,097.60, 205,646.40 and 81,801.60 is: 122,702.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,097.60 : 205,646.40 = 81,801.60 : x
  2. Step 2: Convert to fraction form
    137,097.60/205,646.40 = 81,801.60/x
  3. Step 3: Cross multiply
    137,097.60x = 205,646.40 × 81,801.60
  4. Step 4: Simplify right side
    137,097.60x = 16,822,204,554.24
  5. Step 5: Solve for x
    x = 16,822,204,554.24/137,097.60
  6. Step 6: Final answer
    x = 122,702.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.