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Finding the Fourth Proportional to 162,052.80, 243,078.12 and 87,208.16

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Solution

The fourth proportional to 162,052.80, 243,078.12 and 87,208.16 is: 130,811.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,052.80 : 243,078.12 = 87,208.16 : x
  2. Step 2: Convert to fraction form
    162,052.80/243,078.12 = 87,208.16/x
  3. Step 3: Cross multiply
    162,052.80x = 243,078.12 × 87,208.16
  4. Step 4: Simplify right side
    162,052.80x = 21,198,395,581.46
  5. Step 5: Solve for x
    x = 21,198,395,581.46/162,052.80
  6. Step 6: Final answer
    x = 130,811.66

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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.