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Finding the Fourth Proportional to 164,965.60, 247,966.80 and 161,855.20

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Solution

The fourth proportional to 164,965.60, 247,966.80 and 161,855.20 is: 243,291.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,965.60 : 247,966.80 = 161,855.20 : x
  2. Step 2: Convert to fraction form
    164,965.60/247,966.80 = 161,855.20/x
  3. Step 3: Cross multiply
    164,965.60x = 247,966.80 × 161,855.20
  4. Step 4: Simplify right side
    164,965.60x = 40,134,716,007.36
  5. Step 5: Solve for x
    x = 40,134,716,007.36/164,965.60
  6. Step 6: Final answer
    x = 243,291.43

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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.