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Finding the Fourth Proportional to 208,007.60, 312,057.96 and 65,861.32

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Solution

The fourth proportional to 208,007.60, 312,057.96 and 65,861.32 is: 98,806.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,007.60 : 312,057.96 = 65,861.32 : x
  2. Step 2: Convert to fraction form
    208,007.60/312,057.96 = 65,861.32/x
  3. Step 3: Cross multiply
    208,007.60x = 312,057.96 × 65,861.32
  4. Step 4: Simplify right side
    208,007.60x = 20,552,549,162.11
  5. Step 5: Solve for x
    x = 20,552,549,162.11/208,007.60
  6. Step 6: Final answer
    x = 98,806.72

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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.