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Finding the Fourth Proportional to 162,045.60, 243,327.60 and 109,687.20

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Solution

The fourth proportional to 162,045.60, 243,327.60 and 109,687.20 is: 164,706.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,045.60 : 243,327.60 = 109,687.20 : x
  2. Step 2: Convert to fraction form
    162,045.60/243,327.60 = 109,687.20/x
  3. Step 3: Cross multiply
    162,045.60x = 243,327.60 × 109,687.20
  4. Step 4: Simplify right side
    162,045.60x = 26,689,923,126.72
  5. Step 5: Solve for x
    x = 26,689,923,126.72/162,045.60
  6. Step 6: Final answer
    x = 164,706.25

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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.