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Finding the Fourth Proportional to 209,572.92, 314,320.50 and 69,313.32

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Solution

The fourth proportional to 209,572.92, 314,320.50 and 69,313.32 is: 103,957.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,572.92 : 314,320.50 = 69,313.32 : x
  2. Step 2: Convert to fraction form
    209,572.92/314,320.50 = 69,313.32/x
  3. Step 3: Cross multiply
    209,572.92x = 314,320.50 × 69,313.32
  4. Step 4: Simplify right side
    209,572.92x = 21,786,597,399.06
  5. Step 5: Solve for x
    x = 21,786,597,399.06/209,572.92
  6. Step 6: Final answer
    x = 103,957.12

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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.