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Finding the Fourth Proportional to 101,314.98, 152,017.02 and 53,918.91

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Solution

The fourth proportional to 101,314.98, 152,017.02 and 53,918.91 is: 80,902.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,314.98 : 152,017.02 = 53,918.91 : x
  2. Step 2: Convert to fraction form
    101,314.98/152,017.02 = 53,918.91/x
  3. Step 3: Cross multiply
    101,314.98x = 152,017.02 × 53,918.91
  4. Step 4: Simplify right side
    101,314.98x = 8,196,592,019.85
  5. Step 5: Solve for x
    x = 8,196,592,019.85/101,314.98
  6. Step 6: Final answer
    x = 80,902.07

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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.