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Finding the Fourth Proportional to 221,038.68, 331,622.70 and 71,275.93

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Solution

The fourth proportional to 221,038.68, 331,622.70 and 71,275.93 is: 106,934.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,038.68 : 331,622.70 = 71,275.93 : x
  2. Step 2: Convert to fraction form
    221,038.68/331,622.70 = 71,275.93/x
  3. Step 3: Cross multiply
    221,038.68x = 331,622.70 × 71,275.93
  4. Step 4: Simplify right side
    221,038.68x = 23,636,716,351.61
  5. Step 5: Solve for x
    x = 23,636,716,351.61/221,038.68
  6. Step 6: Final answer
    x = 106,934.75

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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.