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Finding the Fourth Proportional to 204,898.60, 307,342.50 and 86,538.16

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Solution

The fourth proportional to 204,898.60, 307,342.50 and 86,538.16 is: 129,804.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,898.60 : 307,342.50 = 86,538.16 : x
  2. Step 2: Convert to fraction form
    204,898.60/307,342.50 = 86,538.16/x
  3. Step 3: Cross multiply
    204,898.60x = 307,342.50 × 86,538.16
  4. Step 4: Simplify right side
    204,898.60x = 26,596,854,439.80
  5. Step 5: Solve for x
    x = 26,596,854,439.80/204,898.60
  6. Step 6: Final answer
    x = 129,804.96

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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.