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Finding the Fourth Proportional to 101,120.40, 151,636.86 and 77,763.24

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Solution

The fourth proportional to 101,120.40, 151,636.86 and 77,763.24 is: 116,611.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,120.40 : 151,636.86 = 77,763.24 : x
  2. Step 2: Convert to fraction form
    101,120.40/151,636.86 = 77,763.24/x
  3. Step 3: Cross multiply
    101,120.40x = 151,636.86 × 77,763.24
  4. Step 4: Simplify right side
    101,120.40x = 11,791,773,537.03
  5. Step 5: Solve for x
    x = 11,791,773,537.03/101,120.40
  6. Step 6: Final answer
    x = 116,611.22

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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.