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Finding the Fourth Proportional to 139,285.44, 208,894.68 and 97,539.12

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Solution

The fourth proportional to 139,285.44, 208,894.68 and 97,539.12 is: 146,285.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,285.44 : 208,894.68 = 97,539.12 : x
  2. Step 2: Convert to fraction form
    139,285.44/208,894.68 = 97,539.12/x
  3. Step 3: Cross multiply
    139,285.44x = 208,894.68 × 97,539.12
  4. Step 4: Simplify right side
    139,285.44x = 20,375,403,259.88
  5. Step 5: Solve for x
    x = 20,375,403,259.88/139,285.44
  6. Step 6: Final answer
    x = 146,285.23

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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.