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Finding the Fourth Proportional to 161,783.60, 242,934.60 and 109,425.20

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Solution

The fourth proportional to 161,783.60, 242,934.60 and 109,425.20 is: 164,313.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,783.60 : 242,934.60 = 109,425.20 : x
  2. Step 2: Convert to fraction form
    161,783.60/242,934.60 = 109,425.20/x
  3. Step 3: Cross multiply
    161,783.60x = 242,934.60 × 109,425.20
  4. Step 4: Simplify right side
    161,783.60x = 26,583,167,191.92
  5. Step 5: Solve for x
    x = 26,583,167,191.92/161,783.60
  6. Step 6: Final answer
    x = 164,313.11

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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.