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Finding the Fourth Proportional to 219,711.40, 329,547.90 and 71,967.40

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Solution

The fourth proportional to 219,711.40, 329,547.90 and 71,967.40 is: 107,944.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,711.40 : 329,547.90 = 71,967.40 : x
  2. Step 2: Convert to fraction form
    219,711.40/329,547.90 = 71,967.40/x
  3. Step 3: Cross multiply
    219,711.40x = 329,547.90 × 71,967.40
  4. Step 4: Simplify right side
    219,711.40x = 23,716,705,538.46
  5. Step 5: Solve for x
    x = 23,716,705,538.46/219,711.40
  6. Step 6: Final answer
    x = 107,944.81

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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.