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Finding the Fourth Proportional to 208,594.60, 287,754.58 and 131,984.60

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Solution

The fourth proportional to 208,594.60, 287,754.58 and 131,984.60 is: 182,071.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,594.60 : 287,754.58 = 131,984.60 : x
  2. Step 2: Convert to fraction form
    208,594.60/287,754.58 = 131,984.60/x
  3. Step 3: Cross multiply
    208,594.60x = 287,754.58 × 131,984.60
  4. Step 4: Simplify right side
    208,594.60x = 37,979,173,139.47
  5. Step 5: Solve for x
    x = 37,979,173,139.47/208,594.60
  6. Step 6: Final answer
    x = 182,071.70

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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.