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Finding the Fourth Proportional to 208,402.60, 312,143.10 and 161,285.80

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Solution

The fourth proportional to 208,402.60, 312,143.10 and 161,285.80 is: 241,572.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,402.60 : 312,143.10 = 161,285.80 : x
  2. Step 2: Convert to fraction form
    208,402.60/312,143.10 = 161,285.80/x
  3. Step 3: Cross multiply
    208,402.60x = 312,143.10 × 161,285.80
  4. Step 4: Simplify right side
    208,402.60x = 50,344,249,597.98
  5. Step 5: Solve for x
    x = 50,344,249,597.98/208,402.60
  6. Step 6: Final answer
    x = 241,572.08

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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.