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Finding the Fourth Proportional to 139,951.74, 209,960.40 and 46,457.48

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Solution

The fourth proportional to 139,951.74, 209,960.40 and 46,457.48 is: 69,697.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,951.74 : 209,960.40 = 46,457.48 : x
  2. Step 2: Convert to fraction form
    139,951.74/209,960.40 = 46,457.48/x
  3. Step 3: Cross multiply
    139,951.74x = 209,960.40 × 46,457.48
  4. Step 4: Simplify right side
    139,951.74x = 9,754,231,083.79
  5. Step 5: Solve for x
    x = 9,754,231,083.79/139,951.74
  6. Step 6: Final answer
    x = 69,697.10

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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.