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Finding the Fourth Proportional to 103,690.60, 155,363.10 and 97,469.80

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Solution

The fourth proportional to 103,690.60, 155,363.10 and 97,469.80 is: 146,042.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,690.60 : 155,363.10 = 97,469.80 : x
  2. Step 2: Convert to fraction form
    103,690.60/155,363.10 = 97,469.80/x
  3. Step 3: Cross multiply
    103,690.60x = 155,363.10 × 97,469.80
  4. Step 4: Simplify right side
    103,690.60x = 15,143,210,284.38
  5. Step 5: Solve for x
    x = 15,143,210,284.38/103,690.60
  6. Step 6: Final answer
    x = 146,042.27

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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.