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Finding the Fourth Proportional to 161,510.57, 242,288.01 and 54,865.89

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Solution

The fourth proportional to 161,510.57, 242,288.01 and 54,865.89 is: 82,306.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,510.57 : 242,288.01 = 54,865.89 : x
  2. Step 2: Convert to fraction form
    161,510.57/242,288.01 = 54,865.89/x
  3. Step 3: Cross multiply
    161,510.57x = 242,288.01 × 54,865.89
  4. Step 4: Simplify right side
    161,510.57x = 13,293,347,304.98
  5. Step 5: Solve for x
    x = 13,293,347,304.98/161,510.57
  6. Step 6: Final answer
    x = 82,306.36

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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.