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Finding the Fourth Proportional to 139,711.89, 209,567.91 and 46,217.64

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Solution

The fourth proportional to 139,711.89, 209,567.91 and 46,217.64 is: 69,326.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,711.89 : 209,567.91 = 46,217.64 : x
  2. Step 2: Convert to fraction form
    139,711.89/209,567.91 = 46,217.64/x
  3. Step 3: Cross multiply
    139,711.89x = 209,567.91 × 46,217.64
  4. Step 4: Simplify right side
    139,711.89x = 9,685,733,988.84
  5. Step 5: Solve for x
    x = 9,685,733,988.84/139,711.89
  6. Step 6: Final answer
    x = 69,326.48

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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.