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Finding the Fourth Proportional to 205,347.60, 307,990.62 and 65,088

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Solution

The fourth proportional to 205,347.60, 307,990.62 and 65,088 is: 97,622.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,347.60 : 307,990.62 = 65,088 : x
  2. Step 2: Convert to fraction form
    205,347.60/307,990.62 = 65,088/x
  3. Step 3: Cross multiply
    205,347.60x = 307,990.62 × 65,088
  4. Step 4: Simplify right side
    205,347.60x = 20,046,493,474.56
  5. Step 5: Solve for x
    x = 20,046,493,474.56/205,347.60
  6. Step 6: Final answer
    x = 97,622.24

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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.