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Finding the Fourth Proportional to 139,965.48, 209,947.44 and 34,784.40

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Solution

The fourth proportional to 139,965.48, 209,947.44 and 34,784.40 is: 52,176.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,965.48 : 209,947.44 = 34,784.40 : x
  2. Step 2: Convert to fraction form
    139,965.48/209,947.44 = 34,784.40/x
  3. Step 3: Cross multiply
    139,965.48x = 209,947.44 × 34,784.40
  4. Step 4: Simplify right side
    139,965.48x = 7,302,895,731.94
  5. Step 5: Solve for x
    x = 7,302,895,731.94/139,965.48
  6. Step 6: Final answer
    x = 52,176.41

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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.