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Finding the Fourth Proportional to 209,857.54, 314,847.72 and 67,700.08

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Solution

The fourth proportional to 209,857.54, 314,847.72 and 67,700.08 is: 101,569.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,857.54 : 314,847.72 = 67,700.08 : x
  2. Step 2: Convert to fraction form
    209,857.54/314,847.72 = 67,700.08/x
  3. Step 3: Cross multiply
    209,857.54x = 314,847.72 × 67,700.08
  4. Step 4: Simplify right side
    209,857.54x = 21,315,215,831.82
  5. Step 5: Solve for x
    x = 21,315,215,831.82/209,857.54
  6. Step 6: Final answer
    x = 101,569.93

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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.