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Finding the Fourth Proportional to 72,812.71, 109,223.75 and 22,894.74

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Solution

The fourth proportional to 72,812.71, 109,223.75 and 22,894.74 is: 34,343.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,812.71 : 109,223.75 = 22,894.74 : x
  2. Step 2: Convert to fraction form
    72,812.71/109,223.75 = 22,894.74/x
  3. Step 3: Cross multiply
    72,812.71x = 109,223.75 × 22,894.74
  4. Step 4: Simplify right side
    72,812.71x = 2,500,649,358.08
  5. Step 5: Solve for x
    x = 2,500,649,358.08/72,812.71
  6. Step 6: Final answer
    x = 34,343.58

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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.