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Finding the Fourth Proportional to 164,969.10, 247,972.05 and 161,858.70

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Solution

The fourth proportional to 164,969.10, 247,972.05 and 161,858.70 is: 243,296.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,969.10 : 247,972.05 = 161,858.70 : x
  2. Step 2: Convert to fraction form
    164,969.10/247,972.05 = 161,858.70/x
  3. Step 3: Cross multiply
    164,969.10x = 247,972.05 × 161,858.70
  4. Step 4: Simplify right side
    164,969.10x = 40,136,433,649.34
  5. Step 5: Solve for x
    x = 40,136,433,649.34/164,969.10
  6. Step 6: Final answer
    x = 243,296.68

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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.