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Finding the Fourth Proportional to 130,817, 196,296.38 and 101,292.50

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Solution

The fourth proportional to 130,817, 196,296.38 and 101,292.50 is: 151,993.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,817 : 196,296.38 = 101,292.50 : x
  2. Step 2: Convert to fraction form
    130,817/196,296.38 = 101,292.50/x
  3. Step 3: Cross multiply
    130,817x = 196,296.38 × 101,292.50
  4. Step 4: Simplify right side
    130,817x = 19,883,351,071.15
  5. Step 5: Solve for x
    x = 19,883,351,071.15/130,817
  6. Step 6: Final answer
    x = 151,993.63

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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.