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Finding the Fourth Proportional to 139,618.08, 209,466 and 77,332.32

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Solution

The fourth proportional to 139,618.08, 209,466 and 77,332.32 is: 116,020.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,618.08 : 209,466 = 77,332.32 : x
  2. Step 2: Convert to fraction form
    139,618.08/209,466 = 77,332.32/x
  3. Step 3: Cross multiply
    139,618.08x = 209,466 × 77,332.32
  4. Step 4: Simplify right side
    139,618.08x = 16,198,491,741.12
  5. Step 5: Solve for x
    x = 16,198,491,741.12/139,618.08
  6. Step 6: Final answer
    x = 116,020.02

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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.