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Finding the Fourth Proportional to 161,491.87, 242,292.14 and 71,522.11

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Solution

The fourth proportional to 161,491.87, 242,292.14 and 71,522.11 is: 107,307.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,491.87 : 242,292.14 = 71,522.11 : x
  2. Step 2: Convert to fraction form
    161,491.87/242,292.14 = 71,522.11/x
  3. Step 3: Cross multiply
    161,491.87x = 242,292.14 × 71,522.11
  4. Step 4: Simplify right side
    161,491.87x = 17,329,245,089.22
  5. Step 5: Solve for x
    x = 17,329,245,089.22/161,491.87
  6. Step 6: Final answer
    x = 107,307.23

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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.