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Finding the Fourth Proportional to 137,317.80, 205,539.30 and 97,951.80

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Solution

The fourth proportional to 137,317.80, 205,539.30 and 97,951.80 is: 146,615.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,317.80 : 205,539.30 = 97,951.80 : x
  2. Step 2: Convert to fraction form
    137,317.80/205,539.30 = 97,951.80/x
  3. Step 3: Cross multiply
    137,317.80x = 205,539.30 × 97,951.80
  4. Step 4: Simplify right side
    137,317.80x = 20,132,944,405.74
  5. Step 5: Solve for x
    x = 20,132,944,405.74/137,317.80
  6. Step 6: Final answer
    x = 146,615.69

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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.