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Finding the Fourth Proportional to 139,470.84, 209,295.36 and 50,715.90

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Solution

The fourth proportional to 139,470.84, 209,295.36 and 50,715.90 is: 76,106.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,470.84 : 209,295.36 = 50,715.90 : x
  2. Step 2: Convert to fraction form
    139,470.84/209,295.36 = 50,715.90/x
  3. Step 3: Cross multiply
    139,470.84x = 209,295.36 × 50,715.90
  4. Step 4: Simplify right side
    139,470.84x = 10,614,602,548.22
  5. Step 5: Solve for x
    x = 10,614,602,548.22/139,470.84
  6. Step 6: Final answer
    x = 76,106.25

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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.