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Finding the Fourth Proportional to 131,552.10, 197,000.10 and 105,308.10

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Solution

The fourth proportional to 131,552.10, 197,000.10 and 105,308.10 is: 157,699.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,552.10 : 197,000.10 = 105,308.10 : x
  2. Step 2: Convert to fraction form
    131,552.10/197,000.10 = 105,308.10/x
  3. Step 3: Cross multiply
    131,552.10x = 197,000.10 × 105,308.10
  4. Step 4: Simplify right side
    131,552.10x = 20,745,706,230.81
  5. Step 5: Solve for x
    x = 20,745,706,230.81/131,552.10
  6. Step 6: Final answer
    x = 157,699.54

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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.