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Finding the Fourth Proportional to 101,699.72, 152,428.60 and 76,657.24

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Solution

The fourth proportional to 101,699.72, 152,428.60 and 76,657.24 is: 114,894.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,699.72 : 152,428.60 = 76,657.24 : x
  2. Step 2: Convert to fraction form
    101,699.72/152,428.60 = 76,657.24/x
  3. Step 3: Cross multiply
    101,699.72x = 152,428.60 × 76,657.24
  4. Step 4: Simplify right side
    101,699.72x = 11,684,755,773.06
  5. Step 5: Solve for x
    x = 11,684,755,773.06/101,699.72
  6. Step 6: Final answer
    x = 114,894.67

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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.