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Finding the Fourth Proportional to 139,463.40, 209,174.58 and 45,957

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Solution

The fourth proportional to 139,463.40, 209,174.58 and 45,957 is: 68,928.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,463.40 : 209,174.58 = 45,957 : x
  2. Step 2: Convert to fraction form
    139,463.40/209,174.58 = 45,957/x
  3. Step 3: Cross multiply
    139,463.40x = 209,174.58 × 45,957
  4. Step 4: Simplify right side
    139,463.40x = 9,613,036,173.06
  5. Step 5: Solve for x
    x = 9,613,036,173.06/139,463.40
  6. Step 6: Final answer
    x = 68,928.74

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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.