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Finding the Fourth Proportional to 252,097.60, 378,147.15 and 65,109.10

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Solution

The fourth proportional to 252,097.60, 378,147.15 and 65,109.10 is: 97,663.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,097.60 : 378,147.15 = 65,109.10 : x
  2. Step 2: Convert to fraction form
    252,097.60/378,147.15 = 65,109.10/x
  3. Step 3: Cross multiply
    252,097.60x = 378,147.15 × 65,109.10
  4. Step 4: Simplify right side
    252,097.60x = 24,620,819,658.70
  5. Step 5: Solve for x
    x = 24,620,819,658.70/252,097.60
  6. Step 6: Final answer
    x = 97,663.84

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1.5x scale

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.