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Finding the Fourth Proportional to 208,410.60, 287,528.94 and 136,830.36

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Solution

The fourth proportional to 208,410.60, 287,528.94 and 136,830.36 is: 188,774.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,410.60 : 287,528.94 = 136,830.36 : x
  2. Step 2: Convert to fraction form
    208,410.60/287,528.94 = 136,830.36/x
  3. Step 3: Cross multiply
    208,410.60x = 287,528.94 × 136,830.36
  4. Step 4: Simplify right side
    208,410.60x = 39,342,688,370.62
  5. Step 5: Solve for x
    x = 39,342,688,370.62/208,410.60
  6. Step 6: Final answer
    x = 188,774.89

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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.