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Finding the Fourth Proportional to 208,564.60, 312,846.90 and 129,638.20

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Solution

The fourth proportional to 208,564.60, 312,846.90 and 129,638.20 is: 194,457.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,564.60 : 312,846.90 = 129,638.20 : x
  2. Step 2: Convert to fraction form
    208,564.60/312,846.90 = 129,638.20/x
  3. Step 3: Cross multiply
    208,564.60x = 312,846.90 × 129,638.20
  4. Step 4: Simplify right side
    208,564.60x = 40,556,908,991.58
  5. Step 5: Solve for x
    x = 40,556,908,991.58/208,564.60
  6. Step 6: Final answer
    x = 194,457.30

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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.