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Finding the Fourth Proportional to 108,003.80, 161,948.10 and 45,603.80

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Solution

The fourth proportional to 108,003.80, 161,948.10 and 45,603.80 is: 68,381.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,003.80 : 161,948.10 = 45,603.80 : x
  2. Step 2: Convert to fraction form
    108,003.80/161,948.10 = 45,603.80/x
  3. Step 3: Cross multiply
    108,003.80x = 161,948.10 × 45,603.80
  4. Step 4: Simplify right side
    108,003.80x = 7,385,448,762.78
  5. Step 5: Solve for x
    x = 7,385,448,762.78/108,003.80
  6. Step 6: Final answer
    x = 68,381.38

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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.