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Finding the Fourth Proportional to 103,697.21, 155,566.16 and 47,538.70

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Solution

The fourth proportional to 103,697.21, 155,566.16 and 47,538.70 is: 71,317.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,697.21 : 155,566.16 = 47,538.70 : x
  2. Step 2: Convert to fraction form
    103,697.21/155,566.16 = 47,538.70/x
  3. Step 3: Cross multiply
    103,697.21x = 155,566.16 × 47,538.70
  4. Step 4: Simplify right side
    103,697.21x = 7,395,413,010.39
  5. Step 5: Solve for x
    x = 7,395,413,010.39/103,697.21
  6. Step 6: Final answer
    x = 71,317.38

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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.