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Finding the Fourth Proportional to 164,969.60, 247,972.80 and 161,859.20

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Solution

The fourth proportional to 164,969.60, 247,972.80 and 161,859.20 is: 243,297.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,969.60 : 247,972.80 = 161,859.20 : x
  2. Step 2: Convert to fraction form
    164,969.60/247,972.80 = 161,859.20/x
  3. Step 3: Cross multiply
    164,969.60x = 247,972.80 × 161,859.20
  4. Step 4: Simplify right side
    164,969.60x = 40,136,679,029.76
  5. Step 5: Solve for x
    x = 40,136,679,029.76/164,969.60
  6. Step 6: Final answer
    x = 243,297.43

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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.