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Finding the Fourth Proportional to 131,647.20, 197,341.20 and 65,097.60

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Solution

The fourth proportional to 131,647.20, 197,341.20 and 65,097.60 is: 97,582.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,647.20 : 197,341.20 = 65,097.60 : x
  2. Step 2: Convert to fraction form
    131,647.20/197,341.20 = 65,097.60/x
  3. Step 3: Cross multiply
    131,647.20x = 197,341.20 × 65,097.60
  4. Step 4: Simplify right side
    131,647.20x = 12,846,438,501.12
  5. Step 5: Solve for x
    x = 12,846,438,501.12/131,647.20
  6. Step 6: Final answer
    x = 97,582.31

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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.