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Finding the Fourth Proportional to 102,511.70, 153,767.55 and 101,474.90

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Solution

The fourth proportional to 102,511.70, 153,767.55 and 101,474.90 is: 152,212.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,511.70 : 153,767.55 = 101,474.90 : x
  2. Step 2: Convert to fraction form
    102,511.70/153,767.55 = 101,474.90/x
  3. Step 3: Cross multiply
    102,511.70x = 153,767.55 × 101,474.90
  4. Step 4: Simplify right side
    102,511.70x = 15,603,546,759.50
  5. Step 5: Solve for x
    x = 15,603,546,759.50/102,511.70
  6. Step 6: Final answer
    x = 152,212.35

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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.