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Finding the Fourth Proportional to 103,543.21, 155,216.40 and 65,997.89

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Solution

The fourth proportional to 103,543.21, 155,216.40 and 65,997.89 is: 98,934.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,543.21 : 155,216.40 = 65,997.89 : x
  2. Step 2: Convert to fraction form
    103,543.21/155,216.40 = 65,997.89/x
  3. Step 3: Cross multiply
    103,543.21x = 155,216.40 × 65,997.89
  4. Step 4: Simplify right side
    103,543.21x = 10,243,954,823.12
  5. Step 5: Solve for x
    x = 10,243,954,823.12/103,543.21
  6. Step 6: Final answer
    x = 98,934.10

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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.