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Finding the Fourth Proportional to 216,911.34, 325,365.84 and 144,711.54

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Solution

The fourth proportional to 216,911.34, 325,365.84 and 144,711.54 is: 217,066.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,911.34 : 325,365.84 = 144,711.54 : x
  2. Step 2: Convert to fraction form
    216,911.34/325,365.84 = 144,711.54/x
  3. Step 3: Cross multiply
    216,911.34x = 325,365.84 × 144,711.54
  4. Step 4: Simplify right side
    216,911.34x = 47,084,191,769.79
  5. Step 5: Solve for x
    x = 47,084,191,769.79/216,911.34
  6. Step 6: Final answer
    x = 217,066.53

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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.