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Finding the Fourth Proportional to 162,783.30, 243,846.90 and 109,639.20

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Solution

The fourth proportional to 162,783.30, 243,846.90 and 109,639.20 is: 164,237.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,783.30 : 243,846.90 = 109,639.20 : x
  2. Step 2: Convert to fraction form
    162,783.30/243,846.90 = 109,639.20/x
  3. Step 3: Cross multiply
    162,783.30x = 243,846.90 × 109,639.20
  4. Step 4: Simplify right side
    162,783.30x = 26,735,179,038.48
  5. Step 5: Solve for x
    x = 26,735,179,038.48/162,783.30
  6. Step 6: Final answer
    x = 164,237.85

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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.