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Finding the Fourth Proportional to 100,830.60, 151,245.90 and 65,809.80

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Solution

The fourth proportional to 100,830.60, 151,245.90 and 65,809.80 is: 98,714.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,830.60 : 151,245.90 = 65,809.80 : x
  2. Step 2: Convert to fraction form
    100,830.60/151,245.90 = 65,809.80/x
  3. Step 3: Cross multiply
    100,830.60x = 151,245.90 × 65,809.80
  4. Step 4: Simplify right side
    100,830.60x = 9,953,462,429.82
  5. Step 5: Solve for x
    x = 9,953,462,429.82/100,830.60
  6. Step 6: Final answer
    x = 98,714.70

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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.